{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "f2527c50",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from pandas.api.types import CategoricalDtype\n",
    "from plotnine import *\n",
    "from plotnine.data import mpg\n",
    "%matplotlib inline\n",
    "import pickle\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2a422af7",
   "metadata": {},
   "source": [
    "based on: https://nsojournals.onlinelibrary.wiley.com/doi/full/10.1111/oik.07202"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "f1c3f433",
   "metadata": {},
   "outputs": [],
   "source": [
    "def richness (list_ids):\n",
    "    return len(set(list_ids))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "7449db5b",
   "metadata": {},
   "outputs": [],
   "source": [
    "def Hill_Shannon(list_ids):\n",
    "    series_ids=pd.Series(list_ids)\n",
    "    df_counts = series_ids.value_counts().reset_index()\n",
    "    df_counts.columns = ['id', 'occurrences']\n",
    "\n",
    "# Calculate total number of records\n",
    "    total_records = df_counts['occurrences'].sum()\n",
    "\n",
    "# Calculate proportion for each ID\n",
    "    df_counts['proportion'] = df_counts['occurrences'] / total_records \n",
    "    df_counts['ln']=np.log(df_counts['proportion'])\n",
    "    exponent=(df_counts['ln']*df_counts['proportion']).sum()\n",
    "    return np.exp(-exponent)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "500a082d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def Hill_Simpson(list_ids):\n",
    "    series_ids=pd.Series(list_ids)\n",
    "    df_counts = series_ids.value_counts().reset_index()\n",
    "    df_counts.columns = ['id', 'occurrences']\n",
    "\n",
    "# Calculate total number of records\n",
    "    total_records = df_counts['occurrences'].sum()\n",
    "\n",
    "# Calculate proportion for each ID\n",
    "    df_counts['proportion'] = df_counts['occurrences'] / total_records \n",
    "    df_counts['square']= df_counts['proportion']* df_counts['proportion']\n",
    "    return 1/(df_counts['square'].sum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "f736c7cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "estc_ancient_works_authors=pd.read_csv('final_to_publish_enriched.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "c2d1eab0",
   "metadata": {},
   "outputs": [],
   "source": [
    "precem_span=estc_ancient_works_authors[estc_ancient_works_authors['publication_decade']<1800]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "92c9d21b",
   "metadata": {},
   "outputs": [],
   "source": [
    "#here the column publications does not indicate the number of single estc IDs published that year, but the total number of single-authors included in publications. E.g. if one volume contains both Homer and Plato, it will be counted twice. Therefore the rate calculated below indicates the relative weight of that author of the total circulation of authors in the decade\n",
    "precem_span_per_decade=precem_span.groupby(by=['publication_decade']).agg({'actor_id':list, 'estc_id':'count'}).sort_values(by='estc_id',ascending=False).reset_index()\n",
    "precem_span_per_decade.rename(columns={'estc_id':'publications', 'actor_id':'authors'}, inplace=True)\n",
    "precem_span_per_decade.sort_values(by='publication_decade', inplace=True, ignore_index=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "8c216580",
   "metadata": {},
   "outputs": [],
   "source": [
    "precem_span_per_decade['richness']=precem_span_per_decade['authors'].apply(lambda x:richness(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "a7f170a1",
   "metadata": {},
   "outputs": [],
   "source": [
    "precem_span_per_decade['Hill_Shannon']=precem_span_per_decade['authors'].apply(lambda x: Hill_Shannon(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "460dcfd7",
   "metadata": {},
   "outputs": [],
   "source": [
    "precem_span_per_decade['Hill_Simpson']=precem_span_per_decade['authors'].apply(lambda x: Hill_Simpson(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "d54b065b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ww1i5cmX8+ytXruTQQw/F4XCQn5/P3Llz+eSTTwDYvHkzJ554IkVFRdjtdmbNmsVLL72UwNESQgghhBAifSRzlaCgCnd93p6Rx75itxJMCWyf9Nhjj3HJJZfw/vvvAzB9+vT491wuFwcffDA1NTW8+OKLVFZW8tlnn6Gqavw669at44UXXuA///kPnZ2dnH766fz2t7/llltu6fMYV1xxBcuWLWPp0qWce+65zJs3jyOPPBKA0047DavVyssvv0xBQQF/+tOfOPzww/n2228pLi5m0aJF7LHHHvzxj39Er9ezYsUKjEYjAFdddRWqqvLOO+9gt9v56quvyMvLG8mPUAghhBBCiJSR4GoUmzp1KnfccUe/31u8eDFtbW18/PHHFBcXAzBlypQ+11FVlUcffRSHwwHA97//fZYsWdInuNptt924/vrr4493//33s2TJEo488kjee+89PvroI1pbWzGbzQD8/ve/54UXXuC5557joosuYvPmzVx11VXxwG/q1Knxx25oaOC0005j9uzZAEyaNClZPxohhBBCCCGSToKrBBl1kQxSph47EXPnzh3weytWrGCPPfaIB1b9mTBhQjywAqiqqqK1tbXPdXbbbbc+X/e+zsqVK3G5XJSU9P15eb1e1q1bB8AVV1zBBRdcwBNPPMERRxzBaaedxuTJkwG4+OKL+dnPfsbrr7/OEUccwSmnnLLD4wkhhMgN3pBKqzdEicVAXqJ/0IQQIkdIcJUgRVESKs3LJLvdPuD3rFbroLePlefFKIrSp2xwsOu4XC6qqqp4++23d7jvwsJCIDLy/bvf/S7//e9/efnll7n++ut5+umnWbhwIWeffTYLFy7k5Zdf5rXXXuO2227jzjvv5Cc/+cmgaxdCCJFd/rWxh409QQDsBoUKq4EKm4Fyq4EKq4Eisw5FUTK8SiGEGBkJrsao3XbbjYcffpiOjo6dZq9GYs8996S5uRmDwcCECRMGvN60adOYNm0al19+OWeddRaPPPIICxcuBKCuro4f/vCH/PCHP+Saa67hL3/5iwRXQgiRYzRNY4s7FP/aHdJY3xNkfTTYAjDpFMqt+j4BV5lFj14nAZcQIndIcDVGnXXWWdx6662cdNJJ3HbbbVRVVbF8+XKqq6vZf//9k/IYRxxxBPvvvz8nnXQSd9xxB9OmTaOpqYn//ve/fOc732HWrFlcddVVnHrqqUycOJGGhgY+/vhjTjnlFACuueYaTjzxRKZPn05nZydvvfUWM2bMSMrahBBCpI8npOFXIxNvfzq7mE5/mBZviBZP5L9t3hABVaPBHaKhVxCmU6DUoo9nuSqsBsqtesx6KSsUQmQnCa7GKJPJxGuvvcbPfvYzjj32WEKhEDNnzuSBBx5I2mMoisJLL73EL3/5S8477zza2tqorKxk/vz5VFRUoNfraW9v5+yzz6alpYXS0lJOPvlkbrzxRgDC4TA/+clPaGhoID8/n6OPPpq77747aesTQgiRHp3+MAD5Jh1WQ+RftX1bWbmqabT7YgFXiBZv5P/9YY1Wb5hWb5hVHf749YvMukjA1SvosksflxAiC0hwNUr11+e0/T5Z48eP57nnnuv39jfccMMOe1ZddtllXHbZZTt9jN77aAE4HA7uvfde7r333n4f56mnnur3clVVueOOO8jPz0enkz+YQgiRy2LBVdEATcs6RaHMaqDMamDXaKW6pml0B9RIwOUN0RrNcvUEVTr9Kp3+AN90BeL3YTco8UArFnQVmqSPSwiRXhJcCSGEECKlOgPR4Mo89IlQiqJQaNZTaNazS6E5frknuC3gavGEaPWGafeHI31cziDrnf33ccWCrlLp4xJCpJAEV0IIIYRIqU5fLLgaeSWCzahjotHExHxT/LJAWKPNFyspjJQVDtTHpe/Vx1UufVxCiCST4EoIIYQQKdUZiGzRkUjmKhEmvUKN3UhNrz6ucKyPKxpwtfbq44r0dIVB+riEEEkmwZUQQgghUkbTtG09VykKrvqjVxTKrZGx7rN7rSXex9Ur6Bqoj6vUoufkifkUW3Jkg0shRMZJcCWEEEKIlPGGNfzhyEClwjQGV/0ZqI/LHVRp7dXH1eIN0+EPs9UX5oWNTs6eVohB+rSEEEMgwZUQQgghUiY+ht2ow5ilAYq9nz4uZyDMo6u7aPWGWdLoZkFdXgZXKITIFVJMLIQQQoiUiQVXmc5aJSrfpOeE8Q4Alm/18XWnf5BbCCGEBFdCCCGESKFt/Va5d8oxMd/EARVWAF7e7KIjOvVQCCEGknvvdEIIIYTIGZ3+1E4KTLUDq2zU5RkIqBovbHQSUrVML0kIkcUyGly98847nHDCCVRXV6MoCi+88EKf72uaxq9//WuqqqqwWq0cccQRrFmzps91Ojo6WLRoEfn5+RQWFvKDH/wAl8uVxmeRux599FEKCwvjX99www3MmTMn/vW5557LSSedlLTH6+8YCyGEGN0yMSkwmXSKwokTHNgMSrz/SgghBpLR4MrtdrP77rvzwAMP9Pv9O+64g3vvvZeHHnqIZcuWYbfbWbBgAT6fL36dRYsW8eWXX/L666/zn//8h3feeYeLLrooXU8haw0UGL399tsoikJXVxdnnHEG3377bVIer62tjUsuuYRx48ZhNpuprKxkwYIFvP/++/HrbNmyhWOOOSYpjyeEECI35HpwBeAw6jle+q+EEEOQ0WmBxxxzzIAn25qmcc899/CrX/2KhQsXAvD4449TUVHBCy+8wJlnnsnXX3/NK6+8wscff8xee+0FwH333cexxx7L73//e6qrq9P2XHKR1WrFarUm5b5OOeUUAoEAjz32GJMmTaKlpYUlS5bQ3t4ev05lZWVSHksIIURu8IZUfNEx7LkcXAFMyjexf4WVpS1eXt7sotJmyPnnJIRIvqwdxb5hwwaam5s54ogj4pcVFBSw7777snTpUs4880yWLl1KYWFhPLACOOKII9DpdCxbtozvfOc7/d633+/H79/2qZPT6QQgGAwSDAb7XDcYDKJpGqqqoqoqmqbh8fS9TrrYbEYUZWhjbDVNi6+7t9jXqqryt7/9jSuuuIKOjo74bXpfZ6D72F5XVxfvvvsub775JgcffDAAdXV18eMSu71er+ef//wnJ510Ehs3bmTy5Mk89dRTPPDAA3zyySfsuuuuPPHEE3R3d/PjH/+Yb775hgMPPJDHHnuMsrIyAM477zy6urrYY489eOCBB/D7/Zx11ln84Q9/wGSKjNB97rnn+M1vfsPatWux2WzssccePP/889jtdlRV5ZZbbuEvf/kLbW1tzJgxg1tvvZWjjz4aIL6uZ599lgceeIBly5YxdepUHnzwQfbff/+d/hxir49gMIhePzb/4MZ+f7b/PRLZTY5bbsqF49bmCQGQZ1AgHCKY4/Mg9is1srknQKMnzPPruzlrUl7C+1/lwnETO5LjlpuGe9xGcpyzNrhqbm4GoKKios/lFRUV8e81NzdTXl7e5/sGg4Hi4uL4dfpz2223ceONN+5w+WuvvYbNZtvh/iorK3G5XAQCAdzuILW1Dw7rOY1UQ8OPsNuNQ7puMBgkFArFA8cYj8cDQE9PDz6fD03T4tfx+/2Ew+E+wWZ/97E9VVXJy8vj2WefZebMmZjN5gGv6/V6cTqd8b6466+/nltvvZXa2lp+8pOfcNZZZ5GXl8fNN9+MzWbjvPPO45prruGuu+6Kr+nNN99Er9fz4osvsnnzZi699FLy8vK47rrraG5uZtGiRdx4440cf/zx9PT0sHTpUrq7uwmHwzz44IPceeed3H333ey22278/e9/56STTmLp0qVMnjw5vq5f/vKX3HTTTfzud7/j5ptv5qyzzuKzzz7DYBj4VyYQCOD1ennnnXcIhUI7/ZmNdq+//nqmlyCGQY5bbsrm49ZtK4XSXVBdXbz00nuZXk5SWPUm9JVzaPUZeXzZaio71w/rfrL5uImByXHLTYket9j58nBkbXCVStdccw1XXHFF/Gun00ldXR1HHXUU+fn5fa7r8/mor68nLy8Pi8WCXh9I93Lj8vMd2O2mwa8IGI1GXn31VWpra/tcHg5HPjZ0OBxYLBYURYk/Z7PZjF6vj39tNBoxGAw7/Ez687e//Y2LL76YRx55hD333JP58+dzxhlnsNtuu/W5ntVqJT8/n7y8yGaMV155ZTzDeNlll7Fo0SJef/11Dj30UHp6evjBD37A448/3mdNJpOJxx9/HJvNxr777kt7ezu/+MUvuP3223G5XIRCIc466yzGjx8P0Cfj9MADD/CLX/yC8847D4C5c+eydOlS/vrXv3L//ff3Wddpp50GwM0338zs2bNpbW1l+vTpA/4MfD4fVquV+fPnY7FYBv2ZjUbBYJDXX3+dI488EqNxaB8EiMyT45abcuG4LW310dTqZ1JVKQv2OjbTy0majT1B/rnJQ6ejinkzJ7FLwdD+NkNuHDexIzluuWm4x22wxMLOZG1wFevPaWlpoaqqKn55S0tLfKJdZWUlra2tfW4XCoXo6OjYaX+P2WzuN7tiNBp3+MGHw2EURUGn06HT6cjLM+NyXTPcpzUiiZQFKorCoYceyh//+Mc+ly9btozvfe978ecDxP8bu+/eX8ee+2BOO+00TjjhBN59910+/PBDXn75ZX73u9/x8MMPc+6558avF3vc2H3OmTMn/v+x47z77rvH11JRUUFra2ufNe2+++7xIAhg3rx5uFwuGhsb2WOPPTj88MPZfffdWbBgAUcddRSnnnoqRUVFOJ1OmpqaOPDAA/s8p3nz5rFy5coB11VTUwPA1q1bd/qz0Ol0KIrS7+torJGfQW6S45absvm4dQcjA6hKLNm7xuGYWmxkf5/G0hYvrzX6qHFYEu6/yubjJgYmxy03JXrcRnKMs3afq4kTJ1JZWcmSJUvilzmdTpYtWxbPROy///50dXXx6aefxq/z5ptvoqoq++67b0rWpSgKdrspI/+GGljF2O12pkyZ0udfLFBIBYvFwpFHHsl1113HBx98wLnnnsv111+/09v0fvHGnt/2lw3W89WbXq/n9ddf5+WXX2bmzJncd9997LLLLmzYsCGh59LfuhJZhxBCiF6TAi2jrw/1oCobtfbo/lcbZP8rIURERoMrl8vFihUrWLFiBRAZYrFixQo2b96Moihcdtll3Hzzzbz44ousWrWKs88+m+rq6viI8RkzZnD00Udz4YUX8tFHH/H+++9z6aWXcuaZZ8qkwCwwc+ZM3O7k7weycuVKvF5v/OsPP/yQvLw86urqgEgwNG/ePG688UaWL1+OyWTi+eefJz8/n+rq6j7j4QHef/99Zs6cmfR1CiHEWNcZiAZXptEXXMX2v7IaFFq8Yd6U/a+EEGS4LPCTTz7h0EMPjX8d64M655xzePTRR/n5z3+O2+3moosuoquriwMPPJBXXnmlTz/Lk08+yaWXXsrhhx+OTqfjlFNO4d577037cxnL2tvbOe200zj//PPZbbfdcDgcfPLJJ9xxxx3xMfrJFAgE+MEPfsCvfvUrNm7cyPXXX8+ll14anxK5ZMkSjjrqKMrLy1m2bFl8KiDAVVddxfXXX8/kyZOZM2cOjzzyCCtWrODJJ59M+jqFEGIs84VUvKHRMYZ9IPkmPSeMd/DMOiefbfUxLs/I9KKBhzoJIUa/jAZXhxxySHz8d38UReGmm27ipptuGvA6xcXFLF68OBXLE0OUl5fHvvvuy9133826desIBoPU1dVx4YUXcu211yb98Q4//HCmTp3K/Pnz46PYb7jhBgDy8/N55513uOeee3A6nYwfP54777wzvp/a//3f/9Hd3c3PfvYzWltbmTlzJi+++CJTp05N+jqFEGIsi2Wt8gw6TPrEytpzyaR8E/tVWPmwxctLm11UyP5XQoxpiraz6GaMcDqdFBQU0N3d3e+0wA0bNjBx4sQxOwEuE1RVxel0kp+f32eIxLnnnktXVxcvvPBC5hY3AHmtRKbyvPTSSxx77LHS8JtD5Ljlpmw/bl91+nlxYw+1dgPfm1aY6eWklKppLF7TTYM7RIVVz/enFQ64/1W2HzfRPzluuWm4x21nscFgsnaghRBCCCFyV3yYxRjI4sT7r/TSfyXEWCfBlRjU5s2bycvLG/Df5s2bM71EIYQQWWYsBVcQ6b86frwDgM+2+vim05/hFQkhMiFr97kS2aO6ujo+0XGg76fLo48+mrbHEkIIMXyx4Kp4jARXAJMLtvVfvSz9V0KMSRJciUEZDAamTJmS6WUIIYTIIbHgqnCMBRfzq2w0uII0uEO8sMG50/4rIcToI2WBQgghhEgqf1jFEx/DPrZONbbvv3qrSfqvhBhLxtY7nhBCCCFSrtOvAmA3KJj1Y+9Uo3f/1adtPr7pkv4rIcaKsfeOJ4QQQoiUGmvDLPozucDEfuVWAF7e5KIr+jMRQoxuElwJIYQQIqnGar/V9g6qtlFjN+BXNV7Y0ENIzb2tRdc7A/x3Uw/+sJrppQiREyS4EkIIIURSSeYqQq8oLJzgwKJXaPaGcq7/yhNU+dfGHlZ1+PmyQ0obhRgKCa7GsEcffZTCwsL41zfccANz5syJf33uuedy0kknJe3xFEXhhRdeSNr9CSGEyE5jcQz7QLbvv1rTHczwiobunS0e/OFItq3RHcrwaoTIDRJcjVIDBUZvv/02iqLQ1dXFGWecwbfffpuUx2tra+OSSy5h3LhxmM1mKisrWbBgAe+//35S7l8IIUTukMxVX1MKTOwb7b96tdFDQG/O8IoG1+wJsaLdF/+6yZM7QaEQmST7XI1hVqsVq9WalPs65ZRTCAQCPPbYY0yaNImWlhaWLFlCe3t7Uu5fCCFEbvCHVdzRMeyFY2wM+87Mr7bR4A7S6A7RWLoLIVXDmOlFDUDTNN5ocAEwyWFkfU+QTr+KN6RiNcgxFWJn5DckQZqm4VXDGfmnaclthN2+LHC4urq6ePfdd7n99ts59NBDGT9+PPvssw/XXHMNJ554Yp/rbt26le985zvYbDamTp3Kiy++GP9eOBzmBz/4ARMnTsRut7P33ntz77339rl9LCP3+9//nqqqKkpKSvjxj39MMLjtE7UJEyZw6623cv755+NwOBg3bhx//vOf+9zPqlWrOOyww7BarZSUlHDRRRfhcrkSehwhhBA76oqOYbcZFCxjcAz7QPTR/a8segWf2cGytuztYfq6K0CDO4RBgaPH5cXLO5ukNFCIQUnmKkE+TeXY+i8y8tgv1e2KVcm+Eou8vDzy8vJ44YUX2G+//TCbBy53uPHGG7njjjv43e9+x3333ceiRYvYtGkTxcXFqKpKbW0tzz77LEVFRSxZsoTLL7+c6upqTj/99Ph9vPXWW1RVVfHWW2+xdu1azjjjDObMmcOFF14Yv86dd97Jb37zG6699lqee+45LrnkEg4++GB22WUX3G43CxYsYP/99+fjjz+mtbWVCy64gEsvvZRHH300occRQgjRl5QEDqzApOfIaiv/rvfwUZufGcVWKmzZdSoWCGu81RgZvLF/pY18k55qu4EOf5gmT5DJBaYMr1CI7CYfKY1i//nPf+KBT+zfMccck/THMRgMPProozz22GMUFhYyb948rr32Wj7//PMdrnvuuedy1llnMWXKFG699VZcLhcfffQRAEajkRtvvJG99tqLiRMncvrpp3PuuefyzDPP9LmPoqIi7r//fqZPn87xxx/Pcccdx5IlS/pc59hjj+VHP/oRU6ZM4Re/+AWlpaW89dZbACxevBifz8fjjz/OrrvuymGHHcb999/PE088QUtLS0KPI4QQoq/4GHaTBFf9mVZgxOHZigq8tLmHcJKrUkbqwxYPPUGVApOOfaJ9YtXRAFAyV0IMLrs+LskBFkXHS3W7ZuyxE3HooYfyxz/+sc9ly5Yt43vf+14ylwVEeq6OO+443n33XT788ENefvll7rjjDh5++GHOPffc+PV22223+P/b7Xby8/NpbW2NX/bAAw/wt7/9jc2bN+P1egkEAn0mGALMmjULvX7bH+2qqipWrVrV5zq9H0dRFCorK+OP8/XXX7P77rtjt9vj15k3bx6qqrJ69WoqKiqG/DhCCJEp7pCK15SX6WXsQDJXg6vsWE/QUUaLN8yyFi8HVNoyvSQAuvxhlrV6ATisxo5RpwBQbY90hzV5QmiahqIoGVvjYPxhla2+MNU2Q1avU4xeElwlSFGUrCzN64/dbmfKlCl9LmtoaEjZ41ksFo488kiOPPJIrrvuOi644AKuv/76PsGV0di3fVdRFFQ1Up//9NNPc+WVV3LnnXey7777oigKDz30UDyzNZT7SOQ6g0nGfQghRKr8a5OHLRW70e4LU2nMntEInQEZwz4Ygxrk0CoLLzd4eb/Zw7QCE6XWzJ+SvdnoJqzB+Dwj03qV/5Vb9RgU8Ic12v1hSi2ZX+tAXqt382Wnn8Nq7PHMmxDpJGWBImVmzpyJ2z30DRPff/99DjjgAH70ox+xxx57MGnSJNavX5/0dc2YMYOVK1f2Wdv777+PTqdjl112SfrjCSFEsmmaRpsvDIpCgye7SrU6owMtimRS4E7NKDAyOd9IWIOXNrtQM1weuLEnwLfdARTgiFp7n6yPTlGosmd/aaCmaazvCQDwTpObDl84wysSY5G884kRa29v57DDDuPvf/87n3/+ORs2bODZZ5/ljjvuYOHChUO+n6lTp/LJJ5/w6quv8u2333LLLbfw8ccfJ329ixYtwmKxcM455/DFF1/w1ltv8ZOf/ITvf//78ZJAIYTIZr6wRnTaOa3e7MmoB8IarmAsuJLM1c4oisKCujzMOoUmT4hP2nyD3yhFVE1jSUPkA8c9Si2U9ZNFq7ZFSwOzOLhq94fxRn8xQlqkpy3Zk5aFGIwEV2LE8vLy2Hfffbn77ruZP38+u+66K9dddx0XXngh999//5Dv5+KLL+bkk0/mjDPOYP/996ejo4NLLrkk6eu12Wy8+uqrdHR0sPfee3Pqqady+OGHJ7RWIYTIJGdgW0DVmkWfzndFSwKtegWL7Ic0qHyTnsNqIv2/7zS54/1q6bZ8q482XxirXuGgqv77v6qjmatGd/ZuSdLgigR+pRY9Rh00uEN8tjVzQasYmxRNQnqcTicFBQV0d3eTn5/f53s+n48NGzYwceJELBZLhlY49qiqitPpJD8/H50uN/5Ay2sFgsEgL730Escee+wOPWsie8lxyz1ruwM8t94JgF6BK3YvQZ8Fzfuru/w8v6GHapuBs3cpzPRystL2v2+apvH0WiebXEHq8gx8d0pBWgcxeEIqf/qqE39YY0GdnT1K++9T6gmGeeCLThTgst2KMWfhHmb/3tjDl51+Dqi0YjfoeL3BjVEHP5heROEIM6nyPpmbhnvcdhYbDCb7fjOEEEIIsVPOwLYMR1iD9izJXsmkwMQpisIx4/Iw6qDeFWJ5mjMt727x4A9rlFv17F4y8AeDDqOefKMODWjOsj6/mPpoVq3ObmTPUgu1dgNBFV6pd0l5oEgbCa7EoDZv3rzDflm9/23evDnTSxRCiDHFGezbZ5UtJ7vxPa5kmEVCCs16Dq6OlAe+3eShO5CeYLnFE2JFNJg7ojYP3SAZs+osHmrhDIRxBlQUoMZuRFEUjh3nwKDAxp4gn3f4M71EMUZk7yxNkTWqq6tZsWLFTr8vhBAifXqiPVeKpqIpOlq82XGyG5sUKGPYEze31MI3nX4a3CFe2ezi9Mn5KS0P1DSNNxpdaMD0QhPj8gYvmaq2G/mmK0BjlgTzvdW7IlmrSpsBkz7ycyu26DmoysZbTR7ebHQzyWHEIZtbixST4EoMymAw7LBflhBCiMxxBiOZDZuvC7e1mJYsOdmVssDhi2Va/vZNJxt6gqzq8LPbTsr0RuqbrgD1rhAGBQ6NDtUYTE08cxXMus2EG6LZtFp731PbvcutfNMVYIsnxKv1bk6Z5MiqdYvRR/L2QyS1umIw8hoRQqRLbFqgw9MBQKs3nPH3oKCq0SNj2EcklmkBWNLopieYmvLAoKrxVmNk9Pp+FTYKhpjNqbAa0CngCWl0B7JnCwDYlrmq2y4Dp1MUjh2Xh06Btc4AX3cGMrE8MYZIcDUIvT7yhhMIyC+j2LnYayT2mhFCiFTQtG1BjN3XhUGBgKrFS/IypSuatbLoFawyhn3Y9i63Umkz4A9rvFrvTknQ/GGLB2dQJd+kY9+K/qcD9segU6iwZl/flTeksjU61KW2n/LGMquBeZWRoPX1BhfuYHYFhmJ0kbLAQRgMBmw2G21tbRiNxpwZC57rVFUlEAjg8/ly4meuqiptbW3YbDYMBvm1EkKkjjukoWqgAMawnzKLni3eMM3eEMWWzH24IyWByRHLtDy6uou13QG+7gows8ictPvvDoRZ1uIF4LBqO0ZdYiVy1XYDWzwhmjxBZhYnb10j0RCdElhi0WMbILDfr8LK6i4/rd4wrze4OGliYuO1hRgqOQschKIoVFVVsWHDBjZt2pTp5YwZmqbh9XqxWq05Uxut0+kYN25czqxXCJGbYmPY7QYFBSi3RoKrFk8oqSfhiZLgKnnKrQYOqLDxXrOH1xtcTMgzYjMm54PGNxvdhDQYl2dkl0JTwrevthn4lOzKXNVHNw+usw88lEMf7Wl7bHUX33QFWN3lZ5fC7AgOxegiwdUQmEwmpk6dKqWBaRQMBnnnnXeYP39+zmzWZzKZciLLJoTIbbEx7I7oyXZ5NFuV6XHssbJEGcOeHPtHMy1tvkimZWESMi2begKs7gqgAEfU2of1YWBNNIBp8YYIqRqGBDNfqRDrt6rN2/lpbaXNwH4VVpa2eHmt3sW4PKOUsIqkk+BqiHQ6HRZL6qb2iL70ej2hUAiLxZIzwZUQQqRDbAx7LLiqsEaCqxZvKKMT3GKZKxnDnhx6ncJx4yOZlq+7AkwfYaZF1TTeaIgMsdij1EK5dXingAUmHTaDgiek0eINxYOtTAmEtfi0zO2HWfRnXqWNb7sDtPvCLGl0c/x4R6qXKMYYCdeFEEKIHBIrC3QYI0FUiVmHDvCFtR02F04nKQtMvkqbIT5w4rV6F77Q8I/viq0+2nxhLHolPpFwOBRFodoWCWKyoTSwyRNEBfKNuiFNPTToIj1tAF90+FnXLVVJIrkkuBJCCCFySGxSYH40c2XQKZRaM1saGFK3BXZFsklrUh1YaaPYrMcd0lgSHZ+eKG9I5Z0tHgDmV9lGXApX3Wu/q0zbVhI49Axajd3I3mWRaqRX6l34wzI9UCSPBFdCCCFEDonvcWXa9ic8Nh67xZuZ4Co2ht2sV7AaMt+DM5r0zrSs6vCz3pl4puXdLR58YY0yi545pSNvcYgFV41ZsHl1Q2yYxSD9VtubX22n0KSjJ6jyVqMnFUsTY5QEV0IIIUQO2TbQYlsQU2mLBlcZOtntjJYqFpn0MjE1BWrzjOwVy7RsTizT0uoNsXyrD4gMsdAl4fhURV9vzoCKK4OlqGFNo8kTzVwl2Ptl1CkcEw1aV7T72Ngj5YEiOSS4EkIIIXJEWNPiJ7MOYz+ZK084I+vq8MX6reS0IlXmV0UyLc6gyttNQ8u0aNEhFhowvdDEeEfio9f7Y9brKItOqcxkaWCLJ0RQjWxcXTqMPd7GO0zsEc3kvbzZRSCc/A2bxdgj74JCCCFEjogFVnoFbPptGYjY5DdXKDOZhK5oqaIMs0gdk35bpmX5Vh+bhpBpWd0VYLMriEGBQ2vsSV3Ptr6rzJUG9u63Gm7G9JBqG/lGHd0BlXe2DK+nTYxchy/MR61eQmruB7gSXAkhhBA5wtlrDHvvk0mTXqEkGthkojRQJgWmx3iHiTklQ8u0BFWNN6MDMPatsA5pkl4iqqNleI2ezGWu6t2xzYOHv7OQWa/j6GjQ+kmbjwZX5od0jEXvNXt4s9HNK/WuTC9lxCS4EkIIIXJETz/DLGIqbJkbaiHBVfocWmPDYdTRFVB5dyeZlmUtXpxBlXyjjv0qhj96fSA10ddbsyeEqqU/26BpWjwQGsr+VjszKd/E7OLIHmIvbXaNiuxJLmnxhPiq0w/A3mXWDK9m5CS4EkIIIXKEMxgJYvKNOwYxFRkaxx5StXhGTYKr1DPrdRxdF8m0fNzmo7GfnqfuQJgPWyJ9WYfW2DHqkj9kpMSix6xTCKrQ5k1/r99WXxhfWMOo2/bBwkgcXmPHblDo8Id5r1mmB6ZTrBxzRqEpKccy0yS4EkIIIXJELIjJz6LMVXcgjAaYdAo2GcOeFpMLTOway7Rs2jHT8lajm5AWGU8+vTA5Qyy2pygKVbG+qwyUBjZEg8pqmxF9EiYgWgw6FkSD1mUt3oztGTfWNLiCrHMGUYCDqpLbF5gpElwJIYQQOSI2hr2/4KoyOtSiO6DiC6VvqEWnP5a10skY9jSKZVra/WHe75Vp2dwT5JuuAApwRE1eSo9JdTSgb8zAUIv66P5WtQnub7Uz0wrNzCg0oQH/3dRDWMoDU0rTNP4XzVrtVmKmeBgTH7ORBFdCCCFEjuiJ7ifl6Kcs0GLQURANuprTmL3qkH6rjLD2yrR8GM20qJrGG42RgQBzSi0pL7GKDbXIxMTAZPVbbe/I2jysBoU2X5ilLd6k3rfoa2NPkHpXCL0C8yqT3xeYKRJcCSGEEDliZ5kr6L3fVfpOdrskuMqYaYVmpvfKtHzW5qPVG8aiV5hflfqT1dg49g5/OK3Z0u5AGGdQRUekLDCZbEYdR9ZGgtYPWjy0ZmBAzFgQyVpFMq57lFrIT/I0y0yS4EoIIYTIAUFVwxuKlCnlG/v/810Z77tK34ABmRSYWUfW5mHVRzItb0RHrx9UZcNqSP0pns2gi28c3ZTGgD62v1WFzYBJn/yyxxmFJqYWmFC1yPTATExDHO2+7Q7Q7Alh0ikckIJplpkkwZUQQgiRA2Jj2E06BfMAJ5SZyFxJcJVZ9l6ZFoAyi549Si1pe/xY5iidpYEN0X6rZJcExiiKwlF1dsx6hWZPiI9apTwwmVRN451o1mqvcgu2AT4sylWj69kIIYQQo1RsDLvDNPDgiFjmqt0f3ukGs8kSVjW6ZQx7xs0oMjGj0IRegSPr8tClcbBIrDSwqZ+R8KlSH32s2hFsHjwYh1HP4TWR6XXvbvHEewvFyH3Z4afdFylf3ac89/e12l7uD5MXQgghxoD4GPadfMprN+rIM+hwhVRavSFqU/TJfkx3QEUDjDqwyxj2jFEUhRMnOAioGmZ9ej83r4kNtfCE0DQt5RMjPSGVdl8k0ElV5ipmdrGZrzv9bOgJ8mqjl/yUPtrYEFa1+D5i+1VYsaT59ZoOo+8ZCSGEEKNQT3SYhWOAYRYxFbZIBikd+131LgmUMeyZpShK2gMrgDKrHoMCvrCWluxObEpgqUWf8r4yRVE4elweJp1CkydMZ15VSh9vLFjR7qM7oJJn0DG3bPRlrUCCKyGEECInOKNj2PP7GcPeW2z8djo2QZUx7EKvKPFy1HT0XcWGWdTaU5u1iikw6TmkOjJwobVwfLwMViQuENb4IJq1OqDSilE3Oj+QkeBKCCGEyAHxssBBMlexzYTTmrkaRWOUReKqe5UGplqDOzbMIn2dLXuUWqi16dF0ej5s86XtcUebz7Z6cYc0Ckw6di9J39CVdJPgSgghhMgBsbLAnfVcwbbM1VZvmJCa2qEW8T2uLBJcjWWxoRaNKR5qEQhr8YxsqvsJe1MUhYMqI8HAV13BeBZZDJ0vpPJhdFPmg6ps6Edp1gokuBJCCCFyQixzNVjPVb5Rh0WvoAJbfak9CewMSOZKQE00oG/zpnZKZZM7iEbkNV6Q5tdctc2AzdeNqiGj2Yfho1YvvrBGqUXPzCJzppeTUhJcCSGEEFnOF1YJRLNQ+YOcVCq9emBS2XcV1jS6/LEx7HI6MZY5THocRh0aqX3NxUawp3pK4EBKnPUArNjqwxOU3quhcgdVPm6LBKTzq2xp3SogE+TdUAghhMhysQ2ELXplSE3gFWnou3JGx7AbFMgbZZuAisTF97vypK40sN4VKwnMzE5Cdl83FVY9IQ0+aZPs1VAtbfEQVKHKZmBqgSnTy0k5eTcUQgghstxQh1nExPquWlKYRZAx7KK3alus7yo1r7mwqsU3Kq5L06TA7SnAvmWRkrZPt/rwhSV7NZjuQJjlWyNDQA6uso2J9woJroQQQogs5wwObQx7TGxiYKs3hKqlpgdGxrCL3uKbCbuDaCl4zTV7Q4Q0sOoVSjI4QGWKw0CpRY8/rLFcJgcO6v0tHsIajM8zMiF/9GetQIIrIYQQIuv1JJi5KjLrMOkUQhq0p2ioRacEV6KXCpsBHeAOaThT0I8U2zy4Ns+Y0eyHoijsVxHZ/PbjNi/BFE/kzGXtvhCrOvwAzI/uFTYWSHAlhBBCZLnYyapjiL1NiqJQbo0EPanqu+qS4Er0YtQplFtTt5lwvN/Knpl+q95mFpkpMOnwhDQ+b5fs1UDe3eJBA6YUmOKZzbFAgishhBAiyyXacwXb+q5SNb2tUyYFiu3Eh1okeb8rTdNoyPCkwN50vbJXy1q8hCV7tYNmT4hvugJAZELgWCLviEIIIUSWi21aOtgY9t4qUzgxUNU0yVyJHWybGJjc19xWXxhfWMOo2/ahQabNLrZgNyg4gypfdvozvZys884WNwCziszxjOZYIcGVEEIIkcU0TaMnwbJA6D0xMJz0AQPOgIpKZAx7ImsSo1us9KvZEyKUxGxOfbTfqtpmRJ8l0+YMOoV9yiPZqw9bvCkbHJOL6l1B1juD6IADx1jWCiS4EkIIIbKaJ6QRjp63ORIoCyyx6NErEFA1ugLJHTAQG2ZRKGPYRS+FJh1WvUJYi0yqTJaGaA9XNpQE9jan1IJFr9DhD/NttARurNM0jf81RbJWu5VYxmRmW4IrIYQQIovFslZ5Bl1Cn9rrlW0DBpLddyVj2EV/FEXp1XeVnNecpmnxzFVdhjYPHohZr2NumQWIbJSbihH0uWa9M0iDO4RBgXmV1kwvJyMkuBJCCCGyWKzfKpGsVUyFNTWbCcsYdjGQ6th+V0l6zXUHVHqCKjpl231nk73KrBh10OINs6EnuYM8co2mafFeqz3LrDgS6BEdTSS4EkIIIbJYbAx7IpMCYypskZOb5iQPtdgWXMlphOirJtrr15ikiYGxrFWl1YBRl30lqFaDjj1KIxmaD5o9GV5NZq3uCtDiDWPSbZumOBbJu6IQQgiRxeJj2IcxOKL3xMBklix1xcewj81PpsXAKqNlgd0BFXcSNhPOphHsA9m73IJeifSGxYLBsUbVNN7ZEgku9ym3YjOM3RBj7D5zIYQQIgf0xMsCEw9kyqwGFMAb2jZxcKRUTaMrIGWBon8WvY5SS+R10eQZeaAR3zw4y/qtenMY9cwujvZejdHs1aoOPx3+MFa9wt7llkwvJ6MkuBJCCCGyWLwscBiZK4NOiZ/oJmuohTOgEtZArwxvTWL0S9ZQC3dQjQ9Pqc3Cfqve9quwogDre4Ip27g7W4VUjfejWav9K22Y9WP7fWFsP3shhBAiy/UEht9zBb32u0pS31WXjGEXg6ixRQKhxhEGV7GSwDKLHmuWl5kVmvXMLDIDkcmBY8mKrT6cQRWHUccepWM7awUSXAkhhBBZS+29gfAwg6t435UnnJQ1xcewj9FJYGJwsczVFk9wRJvrxvqXarO436q32BCH1V0B2n1jI3sVCGt8EA0m51XasnLoSLpJcCWEEEJkKVdQRQN0SmSfq+FIduZKJgWKwZRY9Jh0CkEVtvqGH9Q3RPut6rK8JDCmzGpgaoEJgA9bvBleTXp80ubFE9IoMuuYXWLO9HKyQla/M4bDYa677jomTpyI1Wpl8uTJ/OY3v+kz8UjTNH79619TVVWF1WrliCOOYM2aNRlctRBCCJEcsUmBDqNu2CV45dZIhqknmJzpbZ0BmRQodk6nKFTZRtZ35Q+r8Q8EsnmYxfb2j2avvuzw0x1ITrY4W3lDKstaI0HkQZX2hDY5H82yOri6/fbb+eMf/8j999/P119/ze23384dd9zBfffdF7/OHXfcwb333stDDz3EsmXLsNvtLFiwAJ/Pl8GVCyGEECMXLwkcweAIs15HcTQQSkb2qks2EBZDUGMf2X5XTe4QGlBg0pGfQyWo1XYj4/OMqMCyUZ69WtbqxR/WKLPomVFkyvRyskZWfxTwwQcfsHDhQo477jgAJkyYwFNPPcVHH30ERLJW99xzD7/61a9YuHAhAI8//jgVFRW88MILnHnmmf3er9/vx+/3x792Op0ABINBgsGxuT9BtokdBzkeuUWOW26S45a9On2RY5JnUHY4PokctzKLjg5/mCaXnzrr8D9d1jQtXhbo0GvymhmGsfL7Vm6OvM4a3cM7t9rkjJyn1dj0WfGzSuS47VNqYpMryOftPvYpNWLP8mEcw+EOqnwSzVrNKzcTCmVnj9lwf99G8ppTtGTuKphkt956K3/+85957bXXmDZtGitXruSoo47irrvuYtGiRaxfv57JkyezfPly5syZE7/dwQcfzJw5c/jDH/7Q7/3ecMMN3HjjjTtcvnjxYmw2W6qejhBCCJGQ5qKJdDqqKeluoLx707Dvp91RQ2vRBByerdRuXT3s+wnqTayt2Rs0len1S5EiIDGQkM7Imtp9AJhW/yF6LbESuU3lu+KxFFDZvpYid0sqlpgyGrCxYjd8ZseIf3ezVXPRJDodVVj9Tsa3rBp17wUej4fvfve7dHd3k5+fn9BtszpzdfXVV+N0Opk+fTp6vZ5wOMwtt9zCokWLAGhubgagoqKiz+0qKiri3+vPNddcwxVXXBH/2ul0UldXx1FHHZXwD1CkRjAY5PXXX+fII4/EaMyNRlYhxy1XyXHLXv/a7KbTGWLO9CnMKZnV53uJHLdNrhDPbXSjLyzn2H0mD3s9m10h1m50U2Q2cNyxxw77fsaysfT79vDqHrqDKrMPOowJCUz8C6kaD3ztBA2O3m8OJVlQgprocVvrDPKvzR56imo5c7+ZWPSjJ/zoDqj8bU0PaHD8LlWMm1uX6SUNaLi/b7GqtuHI6uDqmWee4cknn2Tx4sXMmjWLFStWcNlll1FdXc0555wz7Ps1m82YzTtONDEajaP+jS7XyDHJTXLccpMct+wTnURNoXXgYzOU41bj0ANuugIqYUWPZZhlSs5wpPSn2KKX18oIjYXft5o8I92dflr9MLVo6M+1xRUkpIHNoFBhN2fVfmpDPW7Tiw180OqnzRdmVVeIAypHT2XUh009qBpMcBiZXGTN9HKGJNHft5H8bmZ1EehVV13F1VdfzZlnnsns2bP5/ve/z+WXX85tt90GQGVlJQAtLX3TxS0tLfHvCSGEELnKGYyUUuUbR/bJvdWgi29CPJKhFp1+mRQohi6231VTgkMtYpsH19qNWRVYJUJRlPi+Vx+3eQmEs7YLJyFt3hBfdkT64Q6uGj0BYzJldXDl8XjQ6fouUa/Xo6qRN/eJEydSWVnJkiVL4t93Op0sW7aM/fffP61rFUIIIZIppGp4QpETsvxhbiDcW3wzYe/wx0N3yqRAkYAaW2xiYIhEWvxzbfPggcwoMlNo0uENaaxsz+0p1mFN4+NWL39f040GTCswUZUj+4+lW1aXBZ5wwgnccsstjBs3jlmzZrF8+XLuuusuzj//fCDyqcBll13GzTffzNSpU5k4cSLXXXcd1dXVnHTSSZldvBBCCDECsTHsBoWk9GtU2Ax82x2gxTP8zJWMYReJKLca0CvgC2t0+lWKLYO/bjRNoyG6N1ZdDu1v1R+dorBfhY1X6l181Oplz1ILel3uZeLWdQdY0uimI/r7X2bRc3itPcOryl5Z/aq97777uO666/jRj35Ea2sr1dXVXHzxxfz617+OX+fnP/85brebiy66iK6uLg488EBeeeUVLBZLBlcuhBBCjIwzugFpvkmflNKoinjmanjBVe8x7BJciaHQ6xQqbQYa3SGaPMEhBVdtvjD+sIZJp8Rfs7ls12Iz723x0BNU+aLTz+4luXN+utUb4s1GN+t7IplEm0FhfpWd3UrM6HK0XDMdsvpV63A4uOeee7jnnnsGvI6iKNx0003cdNNN6VuYEEIIkWLOQCRzlYySQIDKaIlWuy9MUNUwJvgJek9QJaRF+gkKkrQmMfpVx4Ird4hdiwe/fqwksNpuGBUn8Aadwj4VVt5sdPNhi4fZxdkfmHhDKu81e/iszYcG6BTYu8zK/pVWLHr53R9MVgdXQgghxFgVKwt0GJNzMpNn1GE3KLhDGq3eEDUJ9kvEslYFZl3WnxyK7FFjN/Jxm4/GIQ61aIgGV3U53m/V25wSC0ubPXT6Vb7pCjCzaMeJ1dkgrGksb/PxXrMHX3QAx9QCE4fV2CVbnQAJroQQQogslOzMFUT6rtY7g7R4hhNcyaRAkbjYxMBW7+AZU03TqI/2W9XaR88pqkmvsFe5lXe3eFja7GFGoSnrpiCu6w7wZqOb9u36qiY4TBleWe4ZPa9cIYQQYhTpSdIY9t4qrZHgqnkYfVfSbyWGw2HUkWfU4QqqNHtCO81IdQdUXEEVnQLVo2wS3dxSC8tavLT5wqxzBplSkB1By1ZftK/KGckYWg0K86ts7F5ikQz1MElwJYQQQmShWObKkeTMFTCsiYESXInhUBSF6uikyiZ3cKfBVazfqspmSLgnMNtZDDr2KLWwrNXLB80eJudndg+v/vqq9iqzckCFddibjIsICa6EEEKILOQMpqAsMDp9rc0XJqxqCY2FjgdXJgmuRGJq7JHgqtG986C+vtfmwaPR3uVWPmnz0uQJsdkVZHwGSu7CmsaKrT7e3bKtr2pKgYnDqu1DmuYoBifBlRBCCJFl/GEVf/TEJ5llgQUmHWa9gj+s0eYLxycIDkbTNLoCkrkSwxMr8WuKbiY8UMamwRXb32p0Bld5Rh27l1j4bKuPpS3etAdX652R/arafb36qmrsTMjPjhLF0UKCKyGEECLL9ERLAs16BVMSNhCOURSFSquBTa4gLd7QkIMrV0glqIJCZFqgEImotBlQiLyOeoIq+f1kP91BNb5J7WgaZrG9fcqtLN/qY2NPkC3uIFVpyNK1R/uq1klfVVrIO6QQQgiRZeIlgUkaw97bcPquYpMCC0w69HIyJhJk1CmUWyMBVdMApYGxksAyi35U9/wUmvXMKo6MYl/a4k3pY3lDKm80uPjr112scwbRAXuXWbh4RhF7lFolsEqR0fvRgBBCCJGjelIwhj2mInqS25LAxEAZZiFGqtpupMUbpskTYno/+zyNxv2tBrJfhZUvOvx82x1gqzdEqTU5p+P+sEqrN0yLJ0SLN8Sa7sC2vqr8yH5V0leVehJcCSGEEFnGGR3D7khiv1VMZa/MlappQ/r0WoIrMVLVNgPLgaYBNhOOTQqsHQPBVanFwLQCE992B1ja4uWECY6E78MVVONBVIs3RKs3FM8w932sSF/VROmrShsJroQQQogsk4oNhGOKzHqMOgiq0OELD+lTcwmuxEjFNq1u9oR2mFQZy7gA1I3ifqve9q+08m13gK86/RxUZaNwgN+tyDCZXoFU9L/ukNbv9R1GHRVWAxU2PZU2A5PzTVL+l2Zj4xUshBBC5JBUBlc6RaHcaqDRHTlJk+BKpEORWYdFr+ALa7T6QlTZtmWoGt0hNCI9fY4xMuq/ymZkosPIhp4gy1q9LKjLI6xqbPWF49moFk+IVm+YgNp/IFVi1lNhM1Bh1VNhNVBuM2Abxf1quUKCKyGEECLL9EQHWjhSMNACIvtdNbpDNHtCzCre+XU1TesVXMmJmxgeRVGothtY7wzS5O4bXI2lfqve9q+wsaGnm8/bfTS6g2z1hekvjtIrUGbdFkRV2AyUWQxJnSQqkkeCKyGEECKLaJqGM7qnVH8jq5Mh3ncVLcXaGXdIi49hLxwjWQWRGtU2Yzy4mlu27fLYpMC6Ubp58EDq8gzU2CMfdMTKIs16JRJAWWNZKQPFFr1M6cwhElwJIYQQWcQX1oi1U6QycwWRiYE729QVtpUE5pt0ffpkhEhUTbSfqrHXUIuQqsXHs9fmja3TUkVROHGCg286/RSaI1mpApNup7+PIvuNrVexEEIIkeW6o/1WdoOCIUXBTKlVj14Bf1ijO6AO2EwP0m8lkqcqmjHtCqh4gio2oy4y4EIDm0GheAy+xgpMevatsGV6GSKJpHhaCCGEyCI9sTHsKSzB0ysKZZbIiW7zIJsJS3AlksVi0FES3WepKfq6i49gtxslYyNGBQmuhBBCiCwSnxSYopLAmArb0DYTluBKJFN1NHsV2+8q3m81xoZZiNFLgishhBAii/REgytHCsaw9xbvuxpy5kpOGcTIxfa7anRHNrFudEVefxJcidFC3imFEEKILOIMpidzFZsY2BwdatGfyBj2yHokcyWSoTo61GJLdA8nv6ph0imUW+X1JUYHCa6EEEKILJLqMewxZVYDCuAJabiiAd32PCEtvoGpjGEXyVBq0WPUQUDVWLHVB0SmCOqk30qMEhJcCSGEEFkknrlKcVmgUadQGh0u0DxA31XvMeypmlwoxhadosQ3EF7VEQmupCRQjCYSXAkhhBBZQtU0XLGeqxSXBQKUx/uu+t9MON5vJVkrkUSx/a7C0WrUWgmuxCgiwZUQQgiRJdwhFRVQgLw0BFexvquBJgbKpECRCrH9rgD0yrYJgkKMBhJcCSGEEFmip1fWKh09KBW2nU8MlEmBIhWq7dsyVVU2g5ScilFF3i2FEEKILOFM0xj2mIrohDZnUMUT2nGohUwKFKmQZ9RREH2NS0mgGG0kuBJCCCGyRLrGsMeY9bp4Vmr77JWmaXQGpCxQpMasYjN6BWYUmjO9FCGSSopchRBCiCyRrjHsvVVYDXT6A7R4Q0zMN8Uv94Y1/NGJA4USXIkkm19l56BKG4qMYBejjGSuhBBCiCzRE0xvWSD02kx4u8xVfAy7UYdRemJECkhgJUYjCa6EEEIIYGW7j9fqXaialrE1xHqu0lUWCJHMFew4MTAWXEnWSgghhk6CKyGEEGNeWNN4o8HFZ1t9bOoJZmwdsWmB6S4LhMjwCn9421ALmRQohBCJk3dMIYQQY16LJ0S0Io8Gd2aCq7Cq4QqlP3NlM+rij9fi3baZcGxSYLFkroQQYsgkuBJCCDHm1bu2BVSN7v73fEq1WL+VQQGrIb29KP3tdyVlgUIIkTgJroQQQox59b0CqiZ3KCN9V85ewyzS3ejfX9/VtrJACa6EEGKoJLgSQggxpmmaRkOvzFVA1WjrVR6XLj3RMewOY/qDmQpb5DFjmStvSMUXHcMuwZUQQgydBFdCCCHGtK2+ML6whlEH4/KMADRmoO8qPikwjWPYYyqjmautvjBBVYtnrRwyhl0IIRIiwZUQQogxLTbAotpm7BVcpb/vKtZzlc5hFjF5Rh02g4IGtHlDvfqt5DRBCCESIe+aQgghxrR6VySQqsszUmOPZHAyMTGwO1oWmM4x7DGKovTpu4pNCpSSQCGESIwEV0IIIca0WL9VbZ6BarsBBegOqLiC6s5vmGSxzJUjA5krgMroxMBmz7bMlYxhF0KIxEhwJYQQYszqDoRxBlV0QI3diFmvo8waCSjSnb3KZM8V9JoY6AnLGHYhhBgmCa6EEEKMWbH9rSpthvjghhp7tO/Klb7gKqhq8el8jkwFV9HMVZsvRHtsDHsGShSFECKXSXAlhBBizGqI9lvVRgdZAPG+q3QOtXBG+61MOgWLPjN/mgtNOsx6hbAGfhnDLoQQwyLBlRBCiDGrPlr6V5dniF9WG81cNXtDBNX0bCac6ZJA6DvUAiDPoMOklzHsQgiRCAmuhBBCjEmekEq7L5IxigVUAAUmHXaDgqpFhjukgzODY9h7q7Buy1TJGHYhhEicvHMKIYQYk2JTAksteqyGbX8OFUXZ1neVpqEWPdHMVab6rWJifVcgJYFCCDEcElwJIYQYk2LDLOp69VvFxHqwGtLUd+UMZm6Pq94qe5UFyhh2IYRInARXQgghxqT6aOBUazfs8L1tQy2CaFrq+67imasMlwUWW/QYom1WkrkSQojESXAlhBBizAmENVqi/VT9Za4qrQb0CnhDGp3+1G8mHO+5ynBZoE5RmFZoxqxT4gFmsmwO+lji7iSchmBVCCEyJbnvnEIIIUQOaHQH0YgEM/2V4ul1ClU2Aw3uEA3uIMWW1GVxNE2Lj2LPN2Y+W3TC+DzCGhh0yZ0UeGPbJtYHfbxm6eS6svHk6TL/XIUQItkkcyWEEGLMiY9gt++YtYpJ11ALf1gjmrjK+EALiAz0SHZgtTUUZH3QB8BHvh5+tGUNm6NfCyHEaJL5d3EhhBAizWKbB/dXEhhTm5eezYRjJYFWg4IxgaAmoKn4MrThcKJW+F0AVBlMlOmN1If8/GjLGj7yOjO8MiGESK7ceFcWQgghkiSsajRFs1G1eQNXx9fYIoHXVl8Ybyh1fVfxDYQTHGZxc0cDf51Zy5ZQIBXLSqrlvkhwNd9WwENVU5lltuHWVK5p3cAzzra0DA0RQoh0kOBKCCHEmNLsDRHSIpmikp1MxLMZdRRFN9JtSmH2qic6ht2RwBj2oKbyid9FUK9jqa8nVUtLmlhwtYclj2K9kbsqJnOMvRgV+GNnE7e31xPQUj84RAghUk2CKyGEEGNKbH+rWrsRRdl5GV5tGvquhpO52hz0Ewv3PvO7U7Cq5NkS9LMlFEAPzDbbATApOq4qqeXSomp0wKvuTi5vXkd7KD2bNgshRKpIcCWEEGJM2dnmwduLDbVI5WbC8eAqgWEWawPe+P9/HnATzOKsz/Jov9V0sw1brwmBiqJwSn4Zt5dPwqHT81XAww+b17Da78nUUoUQYsQkuBJCCDFmaJoWH1BRN4R9nGIbDG/xBFO2P5MzmPgY9nWBbZP2fJrGV1kckMRLAs15/X5/L6uDByunMt5oZms4yP+1rGWJuzOdSxRCiKSR4EoIIcSY0eYL4wtrGHVQYRs8uCqx6DHrFYIqtHpTk73qiWauEhnDvjYYyVwZ1MhtP83SvitN0/r0Ww2k1mjm/sqp7Gd1ENA0bt66mb90bpENh4UQOUeCKyGEEGNGQ7QksMZuRDdIvxVEStdqotmrRlfygytN0+gJJlYWqGka66JlgbPaI4HLp15X0teWDPUhP+3hEEYUZkX7rQaSp9Nzc9lEzsovA2Cxs5Xr2jbiVsPpWKoQQiSFBFdCCCHGjN7DLIYqlUMtPCGNsAYKkDfEgRZbwyGcahgdsEdbZJ+obwIeXFkYhHwWzVrtarZj1g3+/PSKwkVF1VxbMg6TorDU6+THzWtoDPpTvVQhhEgKCa6EEEKMCZqmxQdT1O1kf6vtxTJXqRhq4QxEAqI8ow79EDJpsG2YRZ3BTGEgRK3BhAqs8GVf9mooJYH9OTKviD9UTKFUb2BT0M8lzWv41JudpY9CCNGbBFdCCCHGhO6ASk9QRadAdQKZqyqbEQXoCarxYChZnNGSQEcCY9jXRfutJhstAOxpipTbfZJlwYeqafGAL9HgCiLTBR+qnMYMk40eNczPW9fzT9lwWAiR5SS4EkIIMSbESgIrrQaMuqFliQBMeoUKa7TvKsnZq5GMYZ9kNAOwZ3QK32dZlrlaH/ThVMNYFB3TzbZh3UeJwcg9lZM5yl6ECtzf2cTvOxpkw2EhRNaS4EoIIcSY0OAe+v5W26vJi5UGJrfvqmcYmav10THskw2RzNXuZhs6IsMjWkKBpK5vJGIlgbub7RiGWPLYH5Oi4+qSOi6Jbjj8kquDn7WsozMsGw4LIbKPBFdCCCHGhProtL/aBPqtYmKbCSd7YmCszDDfNLQ9rrxqmIZQZLjDpGhZoF2nZ0Y0M5RNI9mH22/VH0VROD2/jNvKJ2JXdHzh9/DDLWv6bKYshBDZQIIrIYQQo547qNLhjwQyiUwKjIltJtziDREIJ6/nJ9GywA1BHxpQrDdQpN8WJO5pcQDZM5I9rGmsTGJwFbOPNZ8Hq6ZSZzDTGg5yafMa3nZ3Je3+hRBipCS4EkIIMerFyvnKLHqshsT/9OWb9DiMOjRgiyd55WjxPa6GWBa4NloSOMVo7XP5XpZtfVdqFgx8WB3w4NFUHDo9k03WwW+QgHFGCw9WTWVviwO/pnHj1k083LkFnyp9WEKIzJPgSgghxKgX399qGP1WMbHsVbKGWqiahivWczXEssDY5sGTTZY+l88w27AoOrrUEOuDvqSsbyR691sNdcR8IvJ0em4rn8jp0Q2Hn3S2ckbjV/y5s4nWLOo7E0KMPRJcCSGEGPUaor1SdcMoCYyJ9V0la6hFT1BFA3QK2A1DC0DiY9i3ywYZFR1zLJGR7NmwH1Qy+60GolcULimq5lel46g2mHCqYZ5ytnFW49fc2LaRL3xuGdsuhEg7Ca6EEEKMav6wSot3+MMsYmITAxvdoaSctPcEtk0KVIaQ3VE1jXWxssB+Su3mRvuuPsnwUIuAprLK7wZgj+iaUulwexGPV0/nN2UT2MOchwq87enmJy1ruaR5Da+7OgnK6HYhRJpIcCWEEGJUa3KH0IACk27IU/n6U241YNSBP6yx1TfyzYQTHWbRFArg01RMikKtwbzD92PB1Sq/O6P7QH3l9xDQNIp0BiYYd1xnKugVhQNtBdxVOZmHq6ZxjL0YIwqrA15ubd/MWY1f83hXi4xvF0KknARXQgghRrV4v9UISgIhcgJfZYuOZE9C35UzGB3Dbkys32qS0dJvH9MEo5kSvQG/pvGFzz3i9Q3Xil4lgUPJyCXbZJOVn5fW8UztTH5QWEmJ3kB7OMQj3c2c0fA1t2/dLCPchRApI8GVEEKIUa1+BJsHb68mPtRi5BmQRDNXA/VbxSiKsm0kuy9zI9nT0W81FIV6A98rqOCpmhn8snQc001Wgmi84u7kwi3fcnnzWt7zdBOWviwhRBJJcCWEEGLUCqkaW6JZproR9FvF1CZxqEVsDLsjwTHsk40DjzafGw1oMrWZsFcN85XfA2Q+uIoxKjqOsBfxYOVU7q+cwqG2QnTACr+b69o28v2mb3jW2YZLHXmppxBCZH1w1djYyPe+9z1KSkqwWq3Mnj2bTz75JP59TdP49a9/TVVVFVarlSOOOII1a9ZkcMVCCCGyRbMnREgDm0Gh2Dz8fquY6mjmqtOv4gmOrK/JGYiWBSY4hn3KdmPYe4v1XX0b8OIMJ2dkfCK+8HsIoVGhN1JtMKX98XdGURRmme38umw8T9XM4Lv55eTr9GwJBXiws4nTG77i3o4GGoL+TC9VCJHDsjq46uzsZN68eRiNRl5++WW++uor7rzzToqKiuLXueOOO7j33nt56KGHWLZsGXa7nQULFuDzZX6fDyGEEJkVyzDV2o1J6f+xGnSUWiLBUOMINxNOJHPlDIdojQ5jmLSTTXlLDUbGG81obCvPS6fl0YxZpvqthqrcYOLCoir+UTOTK4prGW8049VUnu9p5/tN33BN63o+8fbIKHchRMJGXiORQrfffjt1dXU88sgj8csmTpwY/39N07jnnnv41a9+xcKFCwF4/PHHqaio4IUXXuDMM8/s9379fj9+/7ZPppxOJwDBYJBgUCYJZYPYcZDjkVvkuOWm0XzcNvdENpSttuqS9vyqrDq2+sJsdvqZYBveZ5RBVcMTipy423TqoGtbHR1tXqU3YgqrBMPqgMdtT5OdTUE/H3ucHGCyD2t9w/VZdI+t3YzWnHg96YGjLfksMDtYHnDzvKuDZX4XH3p7+NDbwwSDmQvzK9g7iSWOo/n3bTST45abhnvcRnKcFS2LP5aZOXMmCxYsoKGhgf/973/U1NTwox/9iAsvvBCA9evXM3nyZJYvX86cOXPitzv44IOZM2cOf/jDH/q93xtuuIEbb7xxh8sXL16MzWZLyXMRQgiRXhrwbe2+qDoDE7aswBpMzgS9Lns5W0qmYvV1M6H1i2HdR8BgYV31XBQ1zC4NHzJYjuezsnzeqSlmcpebEza27fS66/OtvDipggJ/kPO+bhzW+obDp9fxp13r0BSFH3xZjyOYmz1MnSYDK8vy+bI4j6A+EjxP7PZwcGMHhYH0l1oKIdLP4/Hw3e9+l+7ubvLz8xO6bVYHVxZLpK78iiuu4LTTTuPjjz/mpz/9KQ899BDnnHMOH3zwAfPmzaOpqYmqqqr47U4//XQUReEf//hHv/fbX+aqrq6OrVu3JvwDFKkRDAZ5/fXXOfLIIzEaRz7hS6SHHLfcNFqPW5svzONrXRh1cOmMfHRJKlPr8Id5ZI0LvRK5X4Mu8fvd7Arx7EY3xWYd500dfKPd33U28rq3m+87yvi+owwY+Lh51DCnNK8mDDxWPoWqNPU+LfX1cH1HPTV6E49UTEnLY6aSSw2zuKeN590dhAEjCifnFXNWXik23fD790br79toJ8ctNw33uDmdTkpLS4cVXGV1WaCqquy1117ceuutAOyxxx588cUX8eBquMxmM2bzjhsbGo1G+YXJMnJMcpMct9w02o7blq5IlqHWbsRsSl6AUW4wYNW78YY1OkIKNcPYP8ujbhtmMZSf+YZQ5APBaRb7Dtff/rgVYGSW2c7nfjcrQz7GWdNTGvh5T2Tgxp5Wx6h4HRVh5MfmOk4oKOP+jiY+9vXwD1c7b3i7uaiwiiPsRSMK2Efb79tYIcctNyV63EZyjLN6oEVVVRUzZ87sc9mMGTPYvHkzAJWVlQC0tLT0uU5LS0v8e0IIIcamhtjmwUnY36o3RdkWUA13M2FndJhF/hCGWQQ1lY3RCXZTdjLMorc9MzCSPVv2t0q2cUYLt5dP5JayCVQbTLSHQ9zWXs//taxldXTsvBBCxGR1cDVv3jxWr17d57Jvv/2W8ePHA5HhFpWVlSxZsiT+fafTybJly9h///3TulYhhBDZQ9M06l3R/a2GkVkaTG10z6xYAJeoRMawbw76CaFhV3RU6If2XPayRkoNl/tcadkktyscYn0wMqV3jiW9QzTSQVEUDrAV8Ej1LlxUWIVF0fGl38MlzWu4Y2s9HWEZciCEiMjq4Oryyy/nww8/5NZbb2Xt2rUsXryYP//5z/z4xz8GIm92l112GTfffDMvvvgiq1at4uyzz6a6upqTTjops4sXQgiRMV0BFVdIRadAlT35FfDbMlfBYY3r7glEx7CbBv8zHNvfarLJOuTx5tNNNuyKDqcaZm309qm0Ipq1mmS0UDTEADAXmRQdZxWU80T1dI60F6EBL7s7OLsxshFxKHvb2IUQaZJwcFVfX09DQ0P8648++ojLLruMP//5z0ldGMDee+/N888/z1NPPcWuu+7Kb37zG+655x4WLVoUv87Pf/5zfvKTn3DRRRex995743K5eOWVV+LDMIQQQow99dGMUpXNgHEYAycGU2kzoFPAHdLoDiS+mXAiZYFrA5GM0OQhlgQC6BWFOWksDRytJYEDKTUYubZ0HPdXTmGayYpbU3mws4kfNK3mI68z08sTQmRQwsHVd7/7Xd566y0AmpubOfLII/noo4/45S9/yU033ZT0BR5//PGsWrUKn8/H119/HR/DHqMoCjfddBPNzc34fD7eeOMNpk2blvR1CCHEUAVVDV8o8RNukTyxcr1UlAQCGHUKldZoaaA78ZKwWOYqfyiZq2Ak8zTFlNiHhnMtkdLAT9KwmfBYC65iZpnt/LFyKleV1FKoM7A55OcXrRv4ZesGGoP+we9ACDHqJBxcffHFF+yzzz4APPPMM+y666588MEHPPnkkzz66KPJXp8QQuSU9c4AD37RwR+/6mSrT/bEyZR6d2qGWfRWEy03THSohT+s4lcj5WMO4857rjRNi5f1TTYOPXMFMNcaCXS+8LnxqakL9ttCAepDfnTA7mMsuALQKQrH5pXwRM10TnWUogc+8Do5r2k1f+ncglfNzf2+hBDDk3BwFQwG42PM33jjDU488UQApk+fzpYtW5K7OiGEyBGqpvFOk5tn1jnxhjX8YY1/beghqEoPRrq5giqd/kgwUZuCfquYmmjgluhQC2c0a2XRK5j0Oy9Z3BoO4VTD6ICJCWau6gxmyvRGgmis8idnA+X+xLJW00xW8kaw/1Ouy9Pp+XFxDX+t3oW9LQ6CaCx2tnJ20ze87uocVm+eECL3JBxczZo1i4ceeoh3332X119/naOPPhqApqYmSkpKkr5AIYTIdu6gyj/WOvmgJZJh2L3EjN2g0OYL83pD6kuyRF+xYKfMosdiSN3cpljmqs0Xxh8eembIOYySwHFGCyYlseeiKApz09B3NVZLAgcyfrvR7VvDIW5t38xPcnh0uwSGQgxdwn91br/9dv70pz9xyCGHcNZZZ7H77rsD8OKLL8bLBYUQYqyodwV55JsuNrmCGHVw4ngHx4xzcMKESL/L5+1+vujwZXiVY0usJLAuhSWBECnpK4gGSE0JlAb2RIdZOIY0zCJWEji8IU1zoyPZP/WmJrjSNK1XcOVIyWPkot6j2y8orOwzuv3uriY8KQz6k+1PnU0sbPiSDQF5HxNiKBKulzjkkEPYunUrTqeToqKi+OUXXXQRNpstqYsTQohspWkay1q9/K/JgwaUWvScNNFBqSXytjrBYeLAShvvNXt4td5Flc1AiSV1JWpim/gwixQHVwC1diPdAT8N7iAT801Duk0ie1zFxrAPdfPg7cU2E14b9NEVDlGoT+5rsCkUoCUcxIDCrmY5B9ieSdGxqKCCo+zF/KVrC6+7O3nZ04V5eg1zgz6mGbN7bP0qn5unnW0A/NvVzv8V12R4RUJkv2F9dKJpGp9++il/+tOf6OmJfBpmMpkkuBJCjAm+kMo/1/fwdjSwmlVk5uxphfHAKuaASivj84wEVXhB+q/Swh9WafVGgpfYRr+pNJyhFomMYV83jDHsvRXrjUyKZr0+S0FpYCxrNcNswzqG+60GUxYd3X5fxRQmGcz4DXru7tqSlg2ehyukadzdsW3rnXc8XahZvF4hskXCwdWmTZuYPXs2Cxcu5Mc//jFtbZFPNG6//XauvPLKpC9QCCGySbMnxCOru1jrDKBX4Oi6PI4fn9fvYAKdonDCBEe8/+oN6b9KuUZ3CA0oNOkGncSXDLHNhJvcoSGfeA51A2GvGqYhFBnnPTnBYRa97RUrDUzBSHbpt0rMrhY7N5eMwxRW+Sbo5cWe9kwvaUD/dLaxIegjX6fHruhoD4f4IoWDUYQYLRIOrn7605+y11570dnZidW67ZO073znOyxZsiSpixNCiGyhaRqftXl54tsuugMqhSYd359WyJxSC4oy8MS3PKMu3n+1UvqvUi62eXAqR7D3VmbVY9IpBFSNNu/QRm47g0MrC9wQ9KEBxXoDxfrhP5/4UAtvT1IHE/Ttt5LgaqhK9UbmNXUC8JeuLbSGAhle0Y5aQgEe7W4B4IdF1RxkKwDgbU9XBlclRG5IuGbi3Xff5YMPPsBk6ltbPmHCBBobG5O2MCGEyBaBsMYr9S6+6oxkEaYWmDhuXN6QJ9FNcJiYV2nl/WZv1vVfqZrGu80+NlTuzhNre3YaKA5Hhc3AETX9Z/ZSoT6N/VYQyU5W2w1s7AnS6A5SYdv5cdU0bdsGwoOUBa6NlQQmuL/V9mab7RhRaAkHaQwFqDWaR3R/MZuCfjrVECZFYab0WyVkt/YeWibV8lXQyx86Grm5bELSf/dG4v6ORnyaymyznQX2Ior1Bl5xd/I/Tzc/LqpBn0VrFSLbJPzXXVVVwuEdP51raGjA4ZBJQUKI0WWrN8TzG3to94VRgENr7OxdtvNsVX/mVdqod4XY7ArywoYezt6lEKMusycoYVXj35t6+KYrAKY8fL7kbzTb4g2jaXDc+NT/fQipGls8kd6nOnv6BgXUxIOrEHuW7fy63pBGKJo8GmxaYGyYxUhKAgGsOj2zzDZW+N184utJWnAVy1rNNtsTHhM/1inAZYVV/KhtAx94nbzr7Wa+rTDTywJgqcfJe14neuDy4hp0isKeljzydHo6oqWBY3GzaCGGKuHg6qijjuKee+7hz3/+MxAZN+pyubj++us59thjk75AIYTIlC86fLxa7yKoRk6EF05wDLvcTKconDjBwd++6Yz3Xx0zLnMfSAVVjRc2OFnnDKJToLx9HQfsMRuDIXkZtZ6Ayiv1LlZ1+BmXZ2R2yciChMFs8YQIa2AzKBSZ03eyX2s3Al4a3INvJhwbZmE3KOgHCa5je1wNd1Jgb3OtDlb43XzmdXGSo3TE9wfSbzVSE4wWzioo44nuVu7taGRPiyPjmzD7VJU/RIdYnJZfxsToa8+o6DjQms8r7k7e9nRJcCXETiT8V/TOO+9kwYIFzJw5E5/Px3e/+13WrFlDaWkpTz31VCrWKIQQaRVSNd5ocLOiPVKWNcFh5MTxDmxDmO62M3lGHSeOd/D0Oicr2yMBx6zi1AYc/QmENf653skmVxCDAieOs/H1pmYmOvbEmOTR0D1BlfeaPbzW4KLKbthhomIy9R7Bns4Sq6roxMDugIorqJK3k9fJUMewq5q2bVLgCMsCAfayOPgrzXzm6yGsaSMu6wprGiv8ElyN1PcKKnjL3UVDKMBfOrdweUltRtfzRHcLLeEgFXojZxdU9PneofbCSGmgu5tLpTRQiAElfKZQW1vLypUrufbaa7n88svZY489+O1vf8vy5cspLy9PxRqFECJtOv1hnvi2Kx5YHVhp4/TJ+SMOrGIm5Ef6rwBeqXfR7hv6CO9k8IVU/rGum02uICadwumTC5joSF0JXTrH0cc2D65NY0kggEWvo8wSCZYGy17FNhDOH2RS4JZQAJ+mYlIU6pJQxjfVZMWh0+PWVFYHPCO+v3UBLz1qGJuiYxeT9FsNl0nR8bOSOgBedLWzype5aXwbAz7+4WwF4NLimh1G6+9pceDQ6elUQ6ySqYFCDGhYZwsGg4Hvfe973HHHHTz44INccMEFfSYHCiFELvq2y8+jq7to8YaxGhTOmJzPgVU2dEn+hHZepY1xGdj/yhNSeWptN43uEGa9wplT8hmXwsAKtpVD2g0KW31hXq9PzTh6VdNodEX7rdI0zKK3WLloo2vnwZUzNoZ90GEWkZLAiUZLUjIEekWJZ5g+9Y78GMRKAne35EkGY4TmWPI4xl4MwJ0d9QS15Pc+DkaL7mkVBg6w5nNgdDpgbwZF4UBrdGqguyu9CxQihyRcn/H444/v9Ptnn332sBcjhBCZENY0/tfk4aPWyAltjd3AwgmOQUu3hmv7/qslDW6OHpfa0qqeYJh/rHWy1RfGZlA4Y3LBoJPtksVu1HHiBAdPr3XyeYefcQ4juya5HLLNG8avaph0CuXW9Pet1NgNLN86+GbCQy0LjPVbDXfz4P7MteTxjqebT309fJ+KwW+wE9JvlVw/LKpiqdfJpqCfp7vb+H7hyI5Pol51d/K5341F0fGT4poBr3eIvYCX3R284+nmJ8VSGihEfxL+y/rTn/60z9fBYBCPx4PJZMJms0lwJYTIKT2BMP/a2END9KR4n3IrB1fbUn7S0Lv/akW7j7o8Q8r6r7oDYZ5a001XQMVh1HHmlPy0j4If7zAxr9LGe80eXq13UWlLbv9VrCSwxm5IeqZxKGKliM3eEEFVG3ASZLwscIhj2Kckod8qZq4lMkDlS78HrxreoexrqEKaxspoWZgEV8mRrzdwaXE1N2/dzBPdLRxsL2CcMT39mM5wiIc6mwA4u6CCSoNpwOvuaXGQHy0N/NzvluMvRD8SLgvs7Ozs88/lcrF69WoOPPBAGWghhMgpG3sCPLK6iwZ3CLNO4TsTHRxWY0/bp7ET8k0cEO2/erXenZL+qw5fmCe/jQRWBSYdi6YWZGyPrd79V/9KcjlkQ5r3t9pegUmH3aCgatDsGfg4xssCB+m5StYY9t6qDSYq9SZCaHw+gp6Z1QEPPk0lX6dnUpoCgLHgMFsh+1gcBNG4q70hqRs+78xfurbQrYYZbzRzav7OJ0kaFCVeMiilgUL0Lykd2lOnTuW3v/3tDlktIYTIVi2eEM+uc+IJaVRY9Zw7vZBdCpOz/08iDoz2XwVULen9V23eEE+u6cIZVCkx6/ne1AIKzZkb9axTFE6I9l+1+cK83pCc/itN0+KbBw93VP5IKYpCTTR71TjAUAtV04aUuXKGQ7SGI/cxKYllgYqiMNcayTR84u0Z9v3ESgLnWPIykiUcrRRF4bLiGiyKjpV+Ny+7O1L+mF/63fzHFXmcy4trMQ5hv7JDovtxvevpJpymAFCIXJK0jUAMBgNNTU3JujshhEgZf1jlhY1OwhpMyjfy/WmFFGUo6Ij1X9miAceShuRM4driCfLkmm7cIY1yq57vTi3AkaIeskTkGXWcMCFSnvZ5u58vOnwjvs+ugIo7pKFXoDpNfWT9qYmOZG8YoO/KFVTRiPzhte8kuFoXjPxMqgympO97FCsN/Mw3/MD2M+m3Spkqo5nzov1WD3VuoSM8+N5pwxXWNO5uj+xpdbS9aMh7V+1hyYuXBq4cwetIiNEq4b9CL774Yp+vNU1jy5Yt3H///cybNy9pCxNCiFTQNI1X6910+lXyjTpOGO/AMMhmrqmWF13HP6L9V+PyjMwsHn4Wrd4V5Nl1TgKqRrXNwOmT87EY0rep7mAmOCLj6N9v9vJqvYsqm2FEpYqxrFWVzZDRYxmfGOgOomnaDnttxbJWeSbdTjM+8ZLAFJTc7WnJQwHWB310hIMU6xPL9AU0lS+i48L3lOAqJU5xlPGGu4s1AS8PdDRxXdn4lDzO/+vZyrqgD4dOz8VF1UO+nUFROMhWwH9dHbzt6WZPa+Y2QxciGyX81+ykk07q87WiKJSVlXHYYYdx5513JmtdQgiREivb/XzV6UcHLJzowJolQcfEfBMHVFj5oMXLK9GBD8WWxLMWG50B/rnBSVCFujwDp07Kx6zPjufY27xKG/WuEJtdQV7Y0MPZuxQOOARiMJkuCYypsBrQK+ANaXT61R2OX6zfavBhFpHgakoSSwJjCvQGppisrAl4+dTr4si8ooRu/6XfQxCNEr2BOkP6y2jHAr2i8LPiWn7UvIY3PV0c5S1iX2t+Uh+jLRTgka5mAC4urKJQn9jp4CG2Qv7r6uAdTxc/lamBQvSR8F9cVVX7/AuHwzQ3N7N48WKqqqpSsUYhhEiKFk8o3udzcLUt3iOTLQ6sslGXZ4j0X210Jtx/tabbz7PrI4HVJIeR0ycXZGVgBX33v2rzhXljBP1XsY176zJ8PA06hSpbrDRwx3KuIY9hDyR/DHtve8X2u/Il3ne1PHqbPSx5O2TmRPLsYrZxiqMMgLvbG/Cq4aTe/wOdTXg1lVlmG8fkFSd8+1hpYLcaZsUYKQ0MaCqd5syVHYvckZ1/dYUQIsn8YZV/bewhrMHkfCP7lGffxue9+69avYn1X33d6ef59ZHnN63AxMmT8oedCUqX3v1XK9v9fDmM/itXUKXTH8kIxXqeMmlnQy1iZYE720A4qKlsCvqB1GSuYFvf1ae+noQn0km/VfqcV1hBhd5ISzjIo90tSbvfZV4n//N0oyMyxGI4Q0n0isL82NRAT1fS1patvvC5uah1HY/NqOXVMfB8xcgM6S/RFVdcMeQ7vOuuu4a9GCGESIVYn1WHP0y+Ucfx4x1Z+6m7w6jv23/lMDKzaOflVyvbfby8OXLSO6vIzHHjc2eKW+/+q1g5ZCL9V7ER7OVWfVb0lcUCvP42E46XBe5kDPvmoJ8gGnZFR0WC/VBDNdtix6QobA2H2BzyM36IvV0eNcw3fg8Q2e9IpJZVp+eyklquad3Ac842DrcVMs1sG9F9+lWVezsagUhv10iyo4fYCvmPK7Kh8GXFtaOyNDCoqTza1cLTzlbU6GUPO1s4OK8IR4KllGLsGNIrY/ny5UO6s2w9WRFCjG2xPisFOHFC9vRZDaRP/9VmF5XWgfuvPmnz8kY0wzWnxMKCOnvOvRePpP8qtnlwbZaUeMYyV1t9YXwhtU/A5wwOHlz1LglM1XE0KTpmm+186nPxibdnyMHVKr+bMJEphjvbaFYkz37WfA6zFfKmp4vfdzTwx8qpIwpinnS20BQKUKY3cm50KuFwzbHkURAtDVzuc7HXKBtssSHg5datm1kbnd55hLWAzzrb6LCYeLy7hR8X12R4hSJbDSm4euutt1K9DiGESInefVaHVNsyPvRgqA6sslHvDlLvCvHCRidnTyvcYRLe0mYP/9sSySTsXWbhsJrcC6xgWznk377pjPdfHTNuaCdq9RnePHh7dqOOIrOOTr9KozvE5IJtQUhPtOfKYRy452ptIHIil6p+q5i5Fgef+lx85nNxSn7ZkG6zXEoCM+LHxdV85OthTcDLP3u2cvoQj9f2Ngd9PNXdBsClxdXYRjjmP1IaWMi/Xe287ekaNcGVqmk819PGw53NBNHI1+m5oriWA0x2/vjFap6fXMnzPVs53lEy5A8mxNiS3R/fCiHECORCn9VAdui/atzWf6VpGu80ueOB1bxKa84GVjF5Rh0njk+s/8oXVmn1RgKWbAmuoP++q5Cq4Q5F+pt2mrkKpm4Me29zowHSCp+L0BD7riS4yoxivZEfFkYGhj3S1UxzKJDwfWiaxj3tjYTQ2Nfq4CBrQVLWdki07+pdT/eQX0fZrDkU4IqWdfyxcwtBNPazOnikehcOthcCML7Hx/6WPMLAAx1NCfcsirFhWAWjn3zyCc888wybN28mEOj7S/7//t//S8rChBBiJHr3WTmyvM9qIL37r5Zvjex/Nb3QxJJGN5+0RYKPQ6pt7Fcxsj6MbDEhv/f+V+5B+68aXZG+pkKTjrxBxpunU63dyBcd/j6bCbuiJYEGBaz6/l+HmqbFywJTNcwiZorJSr5Oj1MN87Xfw2yLfafX7wmHWBNd2x5mCa7S7di8Yl53d7LS7+bu9gZ+Wz4xofezN9xdLPe7MCkK/1dUk7T3wt0teRTqDHSpIZb7XOydo9krTdN4xd3J/R2NeDQVi6Ljx0XVHJdXvMPP6qL8Sj72reNjXw8fenvY35bcMfki9yX81+jpp5/mgAMO4Ouvv+b5558nGAzy5Zdf8uabb1JQkJxPQoQQYqQ+79VntTAH+qwGEuu/Anh5s4sXN/bEA6ujau2jJrCKmVdpY1yeMTKOfkPPTsfRx0ewZ1HWCrYNtdjiCRKOfrK9bZiFfsAT263hEN1qGB0wIcWZK52ixDcBHspI9pV+NxowzmCmxJBdP++xQFEUriipxYjCR74e3kpgYp1LDfPHziYAvl9QQbUxefuTjYapgZ3hINe1beSO9no8msquZhsPV03jeEdJv7+rNQYTp+aXAvBAZyNBTd3hOmJsS/hs49Zbb+Xuu+/m3//+NyaTiT/84Q988803nH766YwbNy4VaxRCiIS0evvuZ5UrfVYDObDKRq09sv/V110BFOC4cXnsWZY7ZY5D1bscss2383H02bJ58PZKLXrMeoWgCm3RskVnMNZvNXhJYJ3RjFmX+g8D9uo1kn0wMoI988YZLXyvIDKE4v6OJpzhHSdS9ufhzi10qiHGGcycMcx+rZ05JFoy914Olga+7+nmB03f8r7XiQGFiwqruKdiCjWDBKDfL6igWG+gMRTgn86taVqtyBUJv3uvW7eO4447DgCTyYTb7UZRFC6//HL+/Oc/J32BQgiRCH9Y5YUNPYSifVb75lCf1UB0isLC6Ia7OiITD2eXjN5G6jyjjhOi/Vcr2n181eHf4TohVWOLJ3JymenNg7enKAo1220mPJQx7GtjJYHG9Lxm50ZLuL7ye3APskmt9Ftlh7MKyhhvNNOphvhT15ZBr/+138OLrnYALiupxagkP2jfzWynSGfAqYb5bBgbU2eCWw1zx9Z6ftW2kU41xCSjhT9WTeWsgvIhTWO06fRcGO2De6K7hY7wjvvaibEr4d+yoqIienoivzw1NTV88cUXAHR1deHxeJK7OiGESMD2fVbH5WCf1UAcJj0XzijikllFzBhk36vRYGK+iQMqI0HGK/UuOnx9T/6bPCHCGtgNCkXm7Cv5rIlm0xqj2bX4BsJDHMOeDpUGEzUGEyqwMho89acjHGRjdBz1HAmuMsqo6PhZcR0AL7k6WLGT4xbWNO7uaEADjrQXpSww1isKB8VKA93dKXmMZFrpc3FB07e87O5AAc7IL+OPVVMT7nM8yl7EdJMVj6bycGdzahYrctKQ/yLFgqj58+fz+uuvA3Daaafx05/+lAsvvJCzzjqLww8/PDWrFEKIIdi+z8qWo31WA7EYdDhMIxufnEsO7N1/tdHZp/+qoVdJYDYG0NtvJuyMjmHP38kY9nXxMezpy0rOjZYGfrKTk/TYCfwUo4UC2Tg142Zb7JyYVwLAXe0NBAbo+flXz1bWBLzk6fRcUlSV0jUdGisN9GZvaWBAU3mos4nLW9bRHA5QqTdxT8VkflhUjWkYGT2donBpdK+rV9wdrPZLgkFEDPnVtNtuu7Hvvvsye/ZsTjvtNAB++ctfcsUVV9DS0sIpp5zCX//615QtVAghdma09VmJfsbR9+q/iu9vlWUlgTHVNiMKkY2DnYHwoGWBXjVMQyhS/pjqSYG9zbVGshk7K+fa1m+Vm5PgRqMLi6oo0RuoD/n5e3frDt/fGgry165INuXCwkqK9Kn9PZkdLQ3sydLSwLUBLz/csoZ/ONvQiExf/Gv1NHYbYTZvltnOkfYiNOC+zkYZzS6ABIKr//3vf8yaNYvbbruNGTNmcM455/D+++9z9dVX8+KLL3LnnXdSVFSUyrUKIUS/AmEt3mc1aZT0WYmIHfqvOv2omhbPCGXbpMAYk16h3BrJUjW6QzijZYH5Awy02BD0oQFFOgPFKT4R7m0Pcx46YFPQT9sA+ydJv1X2ydPp+UlRJGvyVHcrGwJ994V7sLMJj6Yy3WTj+GiWK5X0isLB9khp4FvurpQ/3lCFNY3F3S1csmUNG4I+inQGbi6bwFUldSPeRDnmwsIqLIqOL/0eluToxESRXEMOrg466CD+9re/sWXLFu677z42btzIwQcfzLRp07j99ttpbpZ6UyFE+kX6rFw5vZ+V2Lne4+hf2exidVeAgKph1imUWbO3TDK2mfAGZwB/OPKJ9kA9V7GSwHRmrQAcegPTTJFx/p/2UxrYEgrQFAqgA3YbZC8skV7zbQUcYM0nhMadHfWo0azJJ97IqHYdcEVJDbo0vR8ebCsE4D2vMyvGkzcG/fy0ZS1/6WomhMaB1nz+Vr0L82zJ3TaozGBkUUE5AH/q3IJ3kOEwYvRLuMjUbrdz3nnn8b///Y9vv/2W0047jQceeIBx48Zx4oknpmKNQggxoM87/HwZ7bM6cRT2WYmIA6ts1OVFxtH/e1N0qFKeIW0njsNRGw2uVndHMkJmvYJZ3//rc218mEX6p0DutZP9rmJZq+kmG/YkfdIvkkNRFH5aXIM1mjX5j6udgKZyT0cDAN9xlDLVlL598Gab7RTrDbjUcL+Berpomsa/e9q5YMu3fOn3YFN0/KKkjpvKJlCYop7B0/PLqNSb2BoO8pRzxzJNMbiNAR9XtKwbFZMXR3QWMmXKFK699lp+9atf4XA4+O9//5usdQkhxKBavSFer4/8EZ9fZcvaEjExcr37r2JzLbK13yqmJi9yIhfLWg1UEgjb9rhK16TA3mIj2T/1unboGZGSwOxWbjBxQWElAH/u3MIDHU00hgKU6g2cF708XfSKwsHRrND/MlgaeF9nE3d1NODTVOaY7fy1eheOzitOaUWDSdFxSXFkaMjT3W00D1BiK/rXFPRzZes6lvtcPNDRlOnljNiwg6t33nmHc889l8rKSq666ipOPvlk3n///WSuTQghBtSnz8phZL8K6bMa7RxGfbz/CrK33yom36jrs2nwQCWBqqZtKwtM0x5Xvc0027AoOjrVEBuC23p3NE2T4CoHLHSUMt1kw62p8T2tflRUk5FMY6w08F1Pd0ZKA5d6nDzfE9nU95KiKu6smEylwZSWxz7IWsAe5jyCaPyxM/cDhHRpCwW5snU97eEQE40WfhqdwJjLEgqumpqauPXWW5k2bRqHHHIIa9eu5d5776WpqYm//OUv7LfffqlapxBCxEmf1dg1Md/EieMdHFRli487z1aKovRZ40Bj2LeEAvg0FSMKdcb072FmUnTsZo70U/Uu52oMBWgLBzGisKtZ+q2ylV5RuLKkltira2+Lg0OS3Fc0VLua7ZToDbg1lU+86S0N7AqH+F17PQCnOko5Pb88rWXDiqJwaXE1OuAdT3f8gwkxsO5wiKta17ElFKDaYOJ35ZPIHwXbPQw5uDrmmGMYP3489913H9/5znf4+uuvee+99zjvvPOw2+VNVwiRPjv0We2k3EqMPjOLzcyrtOVEQF3Tq3RxoDHssX6riSYL+gw9p22lgdv6rmIj2GeabZh18juWzSabrPyoqJpZZhuXF9dk7HdDryjMj2av3k7j5DxN07irvYFONcR4o5kLU7yv10AmmaycEJ3OeH9HI2EZzT4glxrm563r2RT0U6o3cmfFZEoM2V2NMFRDDg+NRiPPPfccxx9/PHq9NLUKITJD+qxELqntlblyDPAhQKzfKt2TAnubGy37W+l3E9RUjIqO5dEBF1ISmBtOzi/j5PyyTC+DQ20FPN+zlfc93QQ0dVgb9CbqVXcn73q7MaDwy9JxaXnMgZxXWMmbni7WB338x9XOQkdpxtaSrXyqyi9bN/BtwEuBTs+dFZPSVr6ZDkN+9b344ossXLhQAishRMYEwhr/ivZZTZQ+K5EDym0GDNEkwkCZq1i/1WRj+icFxkwyWijSGfBpKl/6PaiaxgpfZNPmPSW4EgmYZbZTGi0N/DQNpYHNoQD3dTQCcE5hRVonJPanQG/gvILIMJG/dTXjDIcyup5sE9RUbmjbyOd+N3ZFxx3lkxiXwfe+VJA8vxAiJ8T6rNr94fjGsrlQFibGNr2iMK/SxkSHsU+JYG+xssBMZq4URYkHUZ/5etgY9NGlhrAoOqabM3uyKnKLrldp4FspLg1UNY3fbt2MR1OZZbZxVn55Sh9vqE50lDDBaMGphnmsuyXTy8kaYU3jlq2bWebrwawo3FY+kWmj8P1FgishRE5Y1avPaqH0WYkcsn+ljTOmFGDQ7fhhgDMcojW6r8ukDAZXAHtF+64+8bri/VazzXaMGSyxErnpkGhw9UG0NDBVnutpY6XfjUXRcU3JuIz1LG5PryhcWlQNwAs9W9kQ8A1yi9FP0zTu6mjgf55I+eZNZROYPUqz4vKOKYTIem3eEK9Jn5UYhdZHR59X6k3kZXiT3ljf1eqAh3c93YD0W4nhmWW2Uao3RqcG7rg5dTJsCHh5uLMZgB8XVVOTgUmbOzPX6uBAaz4q8GBn4w57yI0lmqbxYGcTL7k60AG/Kh3HPtb8TC8rZSS4EkJkNU3TeHGj9FmJ0WlbSWDiPQf19U5Wr3YnbS1lBhPjDGZU4HO/9FuJ4dP12lD47WignkwBTeWWrZsJorG/NZ/j8oqT/hjJ8MOiaowofOJz8YHXmenlZMzj3S08F91/7KqSOg62F2Z2QSkmwZUQIqttcgVp84Ux6xXZz0qMOuuiwdXkYZQEnnTSM1x99RqWLm1I2nrmWrcFU3ZFl9E+MJHbYqWB76egNPCxrhbWBX0U6PRcWVKbtX8XaoxmTotOcHywsymlJZLZ6jlnG49G+84uLarm6CwNhJNJgishRFZb1e4HYGaRGbv0WYlRZrjDLNau7WDVqlY0Df7yl+VJW89ciyP+/3MseVnTwyJyz0yzjTK9EY+m8nESSwNX+Vw85WwF4GcldRTrs7tMfFFBOSV6A02hAP90bs30ctLqJVc7D3Q2AXBeQSWnZMFWAekgZypCiKzlD6us7ooEV7OLs6ueXoiRCmkam4KR13eiY9hffnlN/P//+c+v6epKTsP8HEte/MRA+q3ESPQtDexKyn161DC3tdejAQvsRRwUvf9sZtPpubAwsqnxE90ttIeCGV5Rerzt7uLO9khW/TRHGd8vyI5JjukgwZUQImt90xUgpEGJWU+Vbch7nguREzYHfQTRsCu6hDfQfPnltfH/93pDPPXUqqSsya7Tc7CtELuiY14OnLiK7HZItLfmfY8TvzrykrgHOpvYEgpQoTdyaXHNiO8vXY60FzHdZMOrqfyla0uml5NyH3md3LJ1MypwXF4xlxRVZW3pZipIcCWEyFqr2iOfxu9abB5Tb8xibFjbq98qkde31xvkrbc2AnD44ZH+hYcfTl5p4C9Lx/H/6mYlHPAJsb0ZJhvleiNeTeVj38hKA9/3dPOSqwMFuLp0XManayZCpyj8pDgymv1Vdydf+z0peyxN01jlc3P71s1c0LSaP3U20RDNkKfD5z4Xv27bSAiNQ22FXF6cvT1xqSLBlRAiK3X6wzS4QyhEgishRpt10THskxOcFPi//23C5wtRU+PgnHOqMZn0fPbZFpYvT84n4npFwSR7W4kkiJQGFgKRMrHh6gwH+X20xOz0/DLm5GDJ6kyznaPsRQDc19GImuTR7F3hEM84Wzm3aTX/17KWV9ydrAv6eNrZxvebvuGK5nW86e5M6VCNb/0erm3dgF/T2Nfq4JrSujHZtynvnkKIrLSqI3LiOcFhxGHKnU8ohRiqeObKmNgwi1i/1YIFk8nPN7Bw4TQA/vrX5GWvhEiWQ+yR8tIPvMMrDdQ0jTvbG+hSQ0w0Wji/sDLZS0ybCwursCg6vg54eMPdOeL7UzWNj7093NC2kdMavuKPnVvYHPJjUXQcbS/iFyV17Gt1oADL/S5+s3UzpzV8xYMdTWwOJndj401BHz9vXY9bU9nNbOeG0gljdgNyaWIQQmQdTdP4oiM6yKIk8f1/hMh2mqbFx7AnOikw1m+1YMEkYD3nnz+HZ5/9mr///XN+97sjsVqze3qaGFtmmGxU6I20hIN85OtJeAjFK+5O3vc6MaBwbem4nM6qlhqMfL+gnL90NfPnri0cZCvAOozyxrZQgJddnbzkaqclvG1Axi4mK8fllXCYvRB79H6PziumORTgZVcHL7k62BoO8mxPG8/2tLGb2c7xeSXMtxVg1g3/57ol6OfKlnV0q2F2MVm5tXwilhHcX64bu89cCJG1NruCOAMqZr3C1ALp+xCjT3s4RLcaRgdMSGBS4Lp1HaxZ04HBoOPwwycCcOihE5gwoZDubj///OfXKVqxEMOjKEp809hESwO3BP3c19EIwPmFlaNi37VT88uoNphoD4d4srt1yLcLaRrvebq5pnU9ZzZ+zSPdzbSEg+Tp9HzHUcJfqqbxUNU0TnCUxAOrmEqDifMKK3m6Zga3lk3kAGs+OiKbhd/avpnTGr/i/o5GNgQSz2a1h4Jc2bqereEQ441mbi+ftMPjjzUSXAkhss6qaNZqRqEZo27s1WuL0W9tMJK1qjOaE/rEOJa1mjevjvz8SC+iTqdw/vlzAHj44c+Su1AhkiC2oXAipYFhTeO37fV4NZXZZjunj5I9kkyKjkuKIsMtnnG20TTIsInGoJ8/dzZxesNXXNe2kQ+9PajA7mY715aM47mamfxfce2QAk+9orC/LZ9byifydM0MziuopEJvpEcN88+erZy/ZTWXNq/hFVcHviEcp+5wiCtb19MUClBtMPH78skU6KUoToIrIURW6bO3VYkMshCj07ph91tFgqtjjpnS5/Jzz52DTqfwv/9tYs2a9uQsUogkmW6yUqE34tNUlvmcQ7rNM842Pve7sSo6rikZXYMR5lnzmWvJI4jGQ507DqIJaCpvuDu5vHkt32v6hqecbXSqIYp0Bs7ML+Px6uncUzmFI/OKhl3OV2YwcXZhBU/WzOD28okcZC1AB3zp93B7ez2nNnzJHzoa4r2h2/OoYa5uXc/GoI9SvYHfl0+i1CAlySDBlRAiy6zuChBUodisp1r2thKj1Nph9Fv5fCHeemsDAMccM7XP9+rqCjj66EjA9be/yWALkV0URYnvefW2u3vQ668NePlbVzMAlxZXU2UcXR+0KYrCj4uq0QHverv51BsZU78u4OXejkZObfiKW7ZuZoXfjQLsa3FwU9kEnqmdycVF1dQl8eehVxT2seZzU/kEnqmZyQWFlVQbTLg1lRd62rlwy7dcsmUN/+1px6uGAfCrKte2buCbgJd8nZ7flU8edcdoJOTMRQiRVWJTAmfL3lZiFFsXSHwM+//+txGvNzKCffbsckKhUJ/vX3DBHrz00hoefXQlN910KEbj2O57ENnlEFsh/3C2sdTrxKeqAw48CGgqt23dTAiNA6z5HGMvTvNK02OiycpCRwnP97RzV0cD+ToD3wS27X9VoTdyTF4xx+QVU56mPedKDEYWFVRwVn45y30u/u1q532Pk28CHr7p8PBgZxOH24toCQVY6XdjU3TcUT6JCQluJzHaSXAlhMganf4w9a7ICeMs2dtKjFJeNUxDKFL6mkjmKlYSePTRU/r94OH446dRXm6nudnFSy+tYeHC6clZsBBJsIvJSqXeRHM4wDKvMz7kYnt/62pmfdBHoc7AlSWjewPacwsqWeLuoikUoIkABhTm2fI5Nq+YuRZHxkohdYrCXKuDuVYHneEgr7o6+a+rnYZQgH+7ImXHJkXh1vKJ7GK2ZWSN2UzKAoUQWeOLaNZqosNIvuxtJdJslc/Ff3rak7655/Y2BH1oQJHOQLF+6D0KA/VbxRiNes45Z3cAHn5YSgNFdolMDYyMYX/b09XvdVb4XDzjbAPgypJaihL4/chF+XoDvyipYw9zHj8srOKZ2hncUDaBfaz5WdNjVqQ3cmZBOY9XT+fuiskcZiuk1mDiN2UT2D0HN3NOB8lcCSGygqZp8SmBs4ulxECkl0cNc03rBtyaysagjx8XVafsE/PhlASuX9/Jt9+2YzDoOOKISQNe7wc/2IPf/e4DXnppDY2NTmpq8ke8XiGS5dBoaeCH3h68arjPHk9uNcxvt25GA47NK2Zegvth5aoDbAUckAPPVVEU5ljymCMB1aAkcyWEyArxva10ClMLZW8rkV4vuzpwa5HRw//s2crT0U/PUyE2zGJyQiWBawA44IA6CgoGDsp22aWUgw4ah6pqPProihGtU4hkm2ayUmUwRaYGRoc4xNzf0UhLOEiVwcSPo6PKhchFElwJIbJCfG+rItnbSqRXWNP4Z89WILJ3DMCfu7bwsqsjJY+3Lpj4pMDBSgJ7u+CCPQH4299WoKqpLXFMRCAQpr3dM/gVxailKAoH23YsDXzP080r7k4U4JqSOmxjfBNakdskuBJCZFwgrMneViJjPvA62RIKkK/Tc1v5RM6Iblb6+/Z6lnqGtifPUKmaxvpYWeAQ97jy+UK8+WZsBPvgwdWpp84kP9/M+vWdvP32xmGvNZk0TeP44xdTWvo75s9/hL/+9TOczv/f3n1GR1V1ARh+ZyZT0nuDQOi99yZNqgWkiBQVFFERREAUUUFARBQBQUBFFFRAEZGiCBp6V0B674SSQnqder8fIfkIBEhgJo39rJVFMnPLmTkk9+455+x99+KponjKLCi8Oy2RNJuVWKuZz2LCAejt4U9NmXYmijgJroQQBe5EvFFqW4kC8+uNKYBPuPnirNbwslcwHVy9sQETrl/gSHqK3c51zWIiTbGhRUXpXNaF2br1ImlpFkqUcKdWrcB7bu/ioqVv3xoAzJ//3wO1116WLj1KWNg5ALZtu8RLL/1OUNBnPPfcCtavP1eoRtiEY1XSOVPCSYdRUdiVlshnMZdJsFkppzUwwCuooJsnxAOT4EoIUeCktpUoKCeNqRwypqABnnL3AzLSEL/lW4rGzu4YFYV3o89z/sZo04PKXG9VVmfIdTawzPVWnTqVz/XvR+bUwOXLjxf4VLzUVDNvvx0GwIgRTfj440epXNmXtDQLixYdon37HylT5nPef38jp0/HFGhbheOpVKqs0as5cVfZlZaIFhXv+ZVGp5LbUlH0yf9iIUSBipfaVqIA/ZqUMWrVxtULf6f/p312Uqn4wC+UajoXkmxWRkedI8pieuDzZa63yu2UQLh5vVXFXO9Tr14wdeoEYTJZWbz4cN4aaWdTp+4gPDyR0qU9+eijtrzzTguOHx/C7t0DefXV+nh5GQgPT+Sjj7ZRqdJsmjf/jm++2UdCgn0CWlH4ZK67irVm/O0f6BVEuTysQRSiMJPgSghRoA5LbStRQKItZjalxAPQ093/tued1RomB5SltJOeaKuZt6POkXDjZvB+ZaZhr5DLNOznz8dx8mQMGo3qrinYb6VSqXjppbpAxtRAxcG1u+4kPDyBTz7ZAcCnn7bD2Vmb1b7GjUP48ssnuHbtTZYu7UnnzhVQq1Xs3BnOyy//QVDQNPr2Xc7ff5/FarUVSPuFY1S8MTUQMpLI9PS4/fdPiKJKgishRIFRFIUjN7IE1pBRK5HPViZdxwrU0rtSWe+S4zaeGic+DSyHn0bLRbORd6POk2az3vc5z+YxDXvmqFWzZqXw8spb/be+fWtiMDhx+HAUe/dezVtD7eSddzaQlmahRYvS9OpVPcdtDAYnevWqzp9/9iM8fASfftqOatX8SU+38NNPR+jYcRGhoZ8zZsx6Tpy4ns+vQDiCSqViiHcJWrp48q5f6UJTMFcIe5DgSghRYC4lm0m4UduqkpcEVyL/pNms/J6csb7n6Xt8ah7opOPTgHK4qzUcM6Uy8fpFLPcxEpRotRBpNQN5D65ykyXwVt7ezvTsWQ0omMQWO3eGs2TJYVQqmDmzU67Wi5Uo4c5bbzXnyJHB7NkziCFDGuLj48yVK0lMmbKDqlXn0LTpt3z11V7i4tLy4VUIR2nm4skE/zIEOEldQ1G8SHAlhCgwmbWtqnjrpLaVyFd/p8SRZLNSwklHU2ePe25fVmdgsn9Z9CoVu9OS+CwmPM9T7c6ZM6YEBml0uOWijk/2FOy5X291s4EDM6YGLllyhOTkB18zlls2m8Ibb6wD4MUX61KvXnCe9lepVDRoUILZsx/j6tWR/Prr0zzxRCU0GhW7d19m8OA1BAdPo3fvX1m79jQWi0wbFEIUDkUquJoyZQoqlYrhw4dnPZaens6QIUPw9fXFzc2NHj16EBkZWXCNFELkSrbaVj55m+4kxIOwKQrLEzOml3V398v1lKQaBlfG+YWiBv5KieOb+Gt5Ou+ZrCmBufv/vm3bRVJTzQQHu1G79r1TsOekVatQKlTwITnZxLJlR+/rGPfjxx8PsnfvVdzddXz0UdsHOpZe70SPHtX4/fc+XLkykmnTOlCzZgBGo5WlS4/y2GNLKFduJn/8ccpOrRdCiPtXZIKrPXv28PXXX1OrVq1sj48YMYLff/+dZcuWsWXLFq5evUr37t0LqJVCiNzKrG3lrVdT0lVqWxU3iqIQYzE/cAIIR/gnLYlwixFXlZrObj552reZiyejfEsB8FNiNMtu1MjKjcz1VhXyOCWwU6cK912iQKVSZY1ezZ+//76OkVdJSUbeeWcDAO+/35LAQPsVhQ0MdGPkyKYcPPgq//33MsOGNcLX15nw8ESefPInBg1aTVKSFCcWQhScInFHk5ycTL9+/fjmm2+YNGlS1uMJCQl8++23LFmyhLZtMz4ZW7BgAVWrVmX37t00adIkx+MZjUaMxv//8U1MTATAbDZjNpsd+EpEbmX2g/RH0ZKXfjt0PeNGs7qnFoul8N2AP0we5PfNqihEWE1cspi4ZDYSbjFyyWIi3GIkRbHholIz278sIU6FZ03dsoQoADq7eKG12jDnMRNdO707190D+C4pirlxV3FXVDx6I7X03WSOXIWqtbl6r//8M6O+Vfv2ZXPcPrf91rdvdd5/fyM7d4Zz6NA1qlb1u+e5H8SkSVuJiEimfHlvXnutnsP+jteo4cdnn7Vj0qTWjBu3mZkz/2X+/P1s2HCeb799ghYtSjvkvA9Krm9Fk/Rb0XS//fYg/axSCio/ax70798fHx8fZsyYQevWralTpw6ff/45Gzdu5NFHHyUuLg4vL6+s7UNDQxk+fDgjRozI8Xjjx49nwoQJtz2+ZMkSXFxyzhglhLAfk0bP2ZINQFGocHUvWmv+rQUR98esUhFn0BKr1xJr0GZ9H6/XYr3HernSiWl0OxdJYVhVF23QsrhKSVSKwgvHLuNhvr/MfwqwpaQPB/w9UCsKXc5FUibpznWZrMDcWqFY1SpeOHYZT9PdP1CIjDTyyivHUavhhx9q4Ob2YJ+FTp58jn//TaRrV39eeKHkAx3rbiIijLz++gnMZoUxY8rSuPG9g057OXw4iVmzLhEdbUalgqeeCqBv3yC02iIzSUcIUUikpqbSt29fEhIS8PC497rcmxX6kauff/6Z//77jz179tz2XEREBDqdLltgBRAYGEhERMQdjzlmzBhGjhyZ9XNiYiKlSpWiQ4cOeX4DhWOYzWbCwsJo3749Wq323juIQiG3/bYzKp2zUUZC3bR07dguH1socnJzv6WoVdlGny5ZjIRbTFlZ7nKiV6kI0egprdVRyklPaSc9pZx0qIAh0ee55OGMR5sWPJKLxBGO9lncFUhL4BFnT3q3zzk1eG51VhQ+ib/CprRE1lUI5lPfMlS5w5S/8+Z0rNHncFGpeebR9qjvMc3v66/3Acdp2jSEXr265LhNXv5O2myn6d59GTt2JLN4cUd0Dqop16vXcsxmhbZtyzB+fO/7ns54Px57DAYPNvLmm2F8//0hVqyI4vRphQULutz3mjVHkOtb0ST9VjTdb79lzmq7H4U6uAoPD+eNN94gLCwMg8F+C971ej16/e1TVLRarfzCFDLSJ0XT3fpNURSOxWfcqNfyM0j/FpBkm5XzpjTOmtM5k57K/gpBfBdzjsS71HDyUGsI1RoordVn+zdAo71jsNDbM4AfEyL5KjGSpm5eOOciS56jxFrNbErLuGA+4xVgl/97Y/xDSYo6z970ZMbGXmJWUAVKa2+/Xl0wJgEZKdj1ununnv7774wsgY89Vume7czN38knn6xCcLAb164ls3btuawU7fa0efMFVq48iVqtYubMzuhy8TrtzddXy8KF3ejWrSqDBv3OkSPRNGu2gIkT2/DWW83QaArPKJZc34om6beiKa/99iB9XKiDq3379hEVFUW9evWyHrNarWzdupXZs2fz119/YTKZiI+PzzZ6FRkZSVBQUAG0WAhxL+HJFhJMNnRS2ypfWBWFcLORc+Y0zprSOW9O55wp7faRKDcD3AisAjXarOCptNZA6I0gylOT90tGP48AwpLjiLCa+CEhkle8S9jjZd2XVUkxmFGopnOhmt7VLsfUqtRM8C/DyMiznDSl8XbkOWYHVcTPKfuF+eyNNOy5yRRoNN6cgj3v9a1y4uSk5oUX6jB58nbmz//P7sGV1WrLSr3+6qv1qVEjwK7Hz6uuXavQtGkpXn75d1atOsmYMRv4/fdT/PDDU5Qvn7ckJkIIkReFOrh69NFHOXz4cLbHXnjhBapUqcLo0aMpVaoUWq2WDRs20KNHDwBOnjzJpUuXaNq0aUE0WQhxD4djM24yq0ptK7uLtZo5Z0rPCqTOmdK4aDZiJueltYEaLWV1BspodMQfOUGXho0oa3DDoLbfp/t6tZrXfUrwXvQFliVG08nNh9AcRnYczaTYWJ2UUTS45z2KBueVi1rDlIByvB5xmssWE6OjzjEzqEK2WlZZmQK1984UuG3bJVJSzAQFuVGnjv0+KHzxxbpMnrydv/8+y8WL8YSGetnt2PPn/8ehQ5F4eRmYMKGN3Y77IAICXFmx4hm+//4gw4atZefOcGrX/orp0zsyaFC9fJ2yKIR4eBTq4Mrd3Z0aNWpke8zV1RVfX9+sxwcOHMjIkSPx8fHBw8OD119/naZNm94xU6AQouCYrAonpLbVAzPabFwwp3PuxihUxr/pxNtyTpLgrFJTTmegnNb5xr8Gyumcs27+zWYzf8bvo4LWGa0dA6tMzVw8aebswc60RGbGXGFaYLl8v7ENS44j3mYhUKOlZS4y++WVl8aJqYHlGRpxmnPmdN6LOs+nAeXQq9UoinJTjat7B1dr12ZkCXyQFOw5KV/eh7Zty7Jx43kWLjzABx+0tstx4+PTef/9TQBMmNAaP7/CkxhKpVIxYEAd2rQpw4ABq9i8+QKvvPIHK1ee4NtvuxAc7F7QTRRCFDOFOrjKjRkzZqBWq+nRowdGo5GOHTsyd+7cgm6WECIHJ6W2VZ7ZFIUL5nQOG1M4YkzhlDGNyxYjOSUPVwMlnfTZAqnyWgOBTrp7JlBwtKHeJdibnsR+YzKbUuNp6+qdb+dWFIVfkzKKBnfLQ9HgvApy0vFJQDneiDjDIWMKk65fZLx/GeKsFhJsVtRA2VyM2mXWt7LXlMCbvfRSXTZuPM933x3g/fdb2mUN0ocfbuH69VSqVvVj8OAGdmil/YWGerFhw/PMnLmbMWM2sHbtGWrU+JKvvnqcp59+sMQmQghxsyJ3d7N58+ZsPxsMBubMmcOcOXMKpkFCiFw7HPv/USuZkpMzo83GCVNqRjCVnsJRUyrJOSSZ8FRrKKdzpvyNUahyWgOhWoNdp/TZU7BWTz+PQBYkRDA37iqNnT1wzafkFnvTk7lgTsegUvO4u69Dz1Ve58ykgLK8HXmO7WmJzIi9TIsbI2WltHr09+ifixfjOX78Omq1ivbty9m9fd26VcXb28ClSwmsX3+Ojh0fLIA7efI6s2b9C8CMGR3RagsuYcm9qNUqRoxoSocO5XnuuRXs3x9Br16/0rfvSWbP7oy3d+6KOwshxN0UueBKCFE0xRutXErOSKJQ3UcSWWSKt1o4cmNU6nB6CqdMaVhuWSPlrFJTTe9CTb0rVfUuVNA54612KnIBam9Pf/5OieWKxcTC+AiG+Diu3tLNfk2MBuAxN59s66AcpY7Bjff9SzMh+iJrkmM5kJ4MQPlcrLfKHLVq2jTEITf7BoMTzz5biy++yCi4+6DB1Ztv/o3FYuPxxys+8LHyS/XqAeze/RKTJm1l8uRtLFlymC1bLrBgQVfaty9v9/PZbArnzsVx8GAEBw9Gsn//Na5di6R+/WRCQvJvBFcIkT8kuBJC5IsjN0atyrhr8XRQjZ3CTlEUrlhMWVP8DqenEG4x3radr8aJGnpXat74Kq9zdthUtvykU6kZ5lOS0VHn+S3pOp3dfCiXizVID+KiOZ1/05NQAd3d/Rx6rpu1dPFiuI+V6bGXuWLJKJJdIVfrrRw3JTDTSy/V44sv/mXVqhNERaUQEHB/mRP/+usMa9acxslJzbRpHezcSsfS6TRMnNiGxx+vyHPPreD06Vg6dFjEkCEN+fTT9ri43F8a5pQUE4cPR2UFUgcPRnLoUCTJybcXSn/33U388EP3B30pIp+sWXOayZPPUbFiLNWqFZ66aaLwkeBKCOFwiqJkZQms+RCNWlkUhdOmtKxg6kh6CnE5JJ0oozVQ48bIVE29K0FOuiI3KpVbjZw9eMTFk22pCcyMvcLngeUd+lozR62aO3tQUpu///eedPclzmphQUJGUft7pWE3Gi1s2HAOgM6dKzqsXbVqBdKwYQn27LnKjz8e5M03m+X5GGazlREj/gJg2LBGVK6cf4GrPTVuHML+/a8wevR65szZw5w5ewgLO8cPPzxF48Yhd9xPURTCwxOzBVEHD0Zw5kwsSg7JOfV6DTVqBFC7diAlS7rz4Yfb+PHHwwwZ0uiu5xGFQ0xMKgMH/kFsbBpdu/7Cv/++JNNIxR1JcCWEcLjwlIentlWkxcT6lDj2piVx3JSK8ZY7LS0qquhdbgRTblTXu+BxH/WjirIh3iXYk5bEIWMKf6fE0dHNMXWHEqwW/k6JA+yffj23nvMMQK2CM6Y06hjc7rrt9u0ZKdgDA13tmoI9Jy+9VI89e67y7bf7GTmyaZ4D3C+/3Mvx49fx83Nh7NhWDmpl/nB11TF79mN06VKZF19cxalTMTRr9h3vvtuCceNaYbUqHD0alRVAZY5GxcWl53i8oCA3atcOvPEVRJ06QVSq5IuTU8Z6O7PZzI4dR9m4MZY33ljHzp0DUUtZikJt3LhNxMZmZPw8cyaWXr1+Ze3afll9KsTNHq4ruhCiQByOKd61rVJsVramJhCWHMd+Y3K25zzUGmroXbO+Kuud0ake7gtyoJOO5zwD+CY+gq/jrtHcxdMha6F+T47BpChU1DlTy05Fg/NKpVLxrGfuphBlTgns1KmCw2+2e/euwYgRf3H8+HV27bpMs2alcr1vTEwq48dvBmDSpDZ4eRWPsgodOpTn8OHBDB26liVLDjNp0ja+/nofsbFpWK23D0c5OampWtWP2rWDsgVTuZlm+eyzwfz7bzL//HOFxYsP8dxztR3xkoQdHDwYwVdf7QNg4MCS/PRTFOvXn2PEiHV88cVjBdw6URhJcCWEcKiba1vVKEa1rayKwr70JP5OjmN7WkK2Eao6eldau3pRW+9Gaa2+wNOgF0ZPe/jzV3IclyxGvou/xjAf+06NMik2VtxIv/60u3+RmGaZH+utMnl46OnVqzoLFx5g/vz/8hRcffDBZuLi0qlVK5CXXqrnwFbmP29vZxYv7k7XrpUZPHgN0dGpAPj4OGcLoGrXDqRaNX/0+vu7jfLx0fLuu815991NjB69nm7dquLmprPnS7GbsWM38t13B/jzz77Uru3YEdXCRlEU3nhjHTabQo8eVXjySQMdOzahV6/lzJ69h+rVA3j11cJZfkAUnIf741MhhMNl1rby0qkJKQa1rc6a0vgq7irPXDnG6KjzbEiNx6golHLSM9AriJ9KVmVGUAW6uvtRRmeQwOoOtDeSWwCsSorhtCnVrsfflBJPrNWCn8aJ1q72Lxpsb5cuJXDsWPSNFOz2z1iXk5deqgvA0qVHSUy8PbFKTo4cieLLL/cCMHNmJ7vUySqMevWqzqlTQ9m48XnCw0dw/fpbbNzYnxkzOjFgQB3q1g2+78Aq0+uvN6R8eW+uXUvm44+32anl9rVx43kmTdrG1atJvPHGOpScFpQVY8uWHWPLlos4OzsxZcqjADz1VGUmTWoDwOuvr2XTpvMF2URRCBXPv4pCiEIjq7aVb9GtbRVrNfNLYjQvXT3JS9dOsTQxmhirBQ+1hqfcfZkbVJHvS1TmWc9AgpwK56fPhVF9Z3fauHhhAz6PuYLNTjduiqJkJbJ4yt0PbRGYhrl27WkAmjQJwccnfxbKN2tWiipV/EhNNfPzz0fuub2iKIwY8deNT/Gr0rp1Gcc3sgD5+rrQpk1ZQkI8HPK3S693Yvr0jgBMm7aLc+fi7H6OB5GcbOKll1Zn/bxly0V+//1UAbYof6WkmBg16m8A3nmnBaGh//+Q5t13H6FPnxpYLDZ69lzGmTOxBdVMUQgV/iuOEKLIurm2VY0iliUw3WZjQ0oc70Se4+nLx/gy7ipnzek4oeIRF08+9C/DryHVeMMnhKp6lyIbOBa0wd4lcFapOWZKZW2yfW5QDhpTOGNOR69S8aSbY4sG20t+TgnMpFKpskav5s//757b//77KdavP4der2Hq1PaObt5D4cknK9G+fTmMRitvvRVW0M3JZsyY9Zw/H0/p0p4MGdIQgLffDsNsvr2oeXH0ySc7CA9PJDTUk7feyp5RU6VS8e23XWjYsASxsWl06fITCQk5JzgRDx8JroQQDpNZ2yrUrWjUtrIpCgfSk/n0ejg9Lh9l0vVL/JOehA2orndhhE9JlodUY6J/GVq4eBaJEZHCzt9JywCvjHUc8+KvkWi9PVV9Xi27MWrV0dWnSGRiNJmsbNiQMbUoP4MrgOeeq41Wq2bPnqscOhR5x+2MRgsjR2akXh85silly0rxW3tQqVTMmNERjUbFb78dZ+PGwjHFbMuWC8yevQeA+fOf5KOP2uLn58LJkzG5CsSLuvPn4/j00x0ATJ/eEWfn2+ueOTtrWbmyNyVLunP8+HX69FmO1WrL76aKQkjuDIQQDpGttpVv4R61CjdnJFXoe+U4IyLPsjYlllTFRpBGx3OegfxYogqzgyrSxd2vSNysFzXd3f0oozWQaLMyPz7igY51xWxkV1oiAD08ikbtpe3bL5GcbCIgwJW6dYPz9dwBAa506VIZgG+/vfNN86xZ/3D2bBzBwW6MGdMiv5r3UKhePYDXXssYGXrjjXVYLAV7g56SYmLgwIzpgIMG1aN9+/J4ehr44IOMlPsffLA512v0iqo33/wbo9HKo4+WpVu3KnfcrkQJd1at6o2zsxNr157h7bcL1+ijKBgSXAkhHCJbbSvPwhVc2RSFM6Y0fkmM5rVrp3n+6gl+TIgi0mrGVaXmcTcfPg8sz+KSVXjRK4iQfC4++7BxUqkYfiO5xR/JMZww3n9yi+VJ0ShAY2d3SmuLRnbKzPVW+ZGCPSeZGf9+/PEQ6em3jxxGRibz4YdbAfj440dxd5ffB3sbP741Pj7OHDkSxbx5+wq0Le+9t5GzZ+MICfHINv3zlVfqU7GiD9HRqVmjOsXR+vXnWLHiBBqNipkzO91zynf9+iVYuPApAKZP38133+3Ph1aKwkyCKyGEQ2TWtqrirUOnKdj1SDZF4ZwpjeWJ0YyNOs9Tl48y6Nopvoy7ynFTKmoybsbH+pVmeUh1RvmWorbBTTL95aPaBjfau3qjAJ/HXsZ6H8ktkqwW1iZnJAV42r1gigbfj4JYb3Wz9u3LUaqUB3Fx6axYcfy25997byNJSSYaNiwh9ZgcxMfHmQ8/zMhAN3bs/wvW5rft2y8xa9Y/AHzzzZN4ev7/AwqtVsOnn2YEW9Om7eLy5cQCaaMjmc1W3nhjHQBDhjSkevWAXO3Xq1f1rJG9V1/9g23bLjqsjaLwk+BKCGF3ZpvCyXgTADULoLaVoihcNKezMuk646Mv0P3yUQZeO8XsuKtsT0skyWbFWaWmsbM7Q7xLsCykGlMCytHW1Ru9Wv4sFpRXvYNxVak5aUpjTXJMnvf/IzmWdMVGOa2BegY3B7TQ/sLDEzh6NCMFe4cO+ZOC/VYajZoXX8xMbJH9U/f9+69lfRI/c2anAhlZe1i8/HJ9atYMIDY2LatIc35KTTXz4ourUBR44YU6dOp0e7DftWtlWrQoTXq6hfff35jvbXS0uXP3cOxYNH5+Lowf3zpP+44b14qePathNtvo3v0XLlyId0gbReEndxFCCLs7nWDGZFPyrbaVoihcNhv5PSmGD6Mv0vPKMQZcPcnM2CtsSU0gwWbFoFLTwODGIK8g5gRV4PdSNZgSUI6eHv74aG5frCzyn49Gy4s3klvMj48gPg/JLSyKklU0uKdH0SgaDP8ftWrcuGS+pWDPyQsv1EGlyqhrlJkSPLOAqqJA3741ado094WGRd45Oan5/PNOQMZN/tGjUfl6/nHjNnH6dCwlSrhnpYi/lUql4rPPMkavfvjhIAcOPNgaycIkKiqFDz7YDMDkyW3x9s7b76NarWLhwq7UrRvE9eupdOnyE0lJxXttmsiZBFdCCLs7mjlq5aDaVoqicNVsZE1SDB9dv0ivK8d57uoJpsdeZmNqRvFYnUpFXYMbL3oGMSuwAqtLVWdqYHn6egZSTe+KpojcfD9surr7UUFrIMlmZV7ctVzvtzU1nmirGW+1E4+6ejmugXZW0FMCM4WGemWNnGWOVC1bdoxt2y5lK6AqHKtt27J0714VqzWjplh+Fe3dtSuc6dN3ATBv3hN4ed15xkHjxiH07l0DRYFRo/4uNoWF33tvAwkJRurVC84ayc0rV1cdq1f3ISjIjcOHo3j22RXYbMXj/RG5J8GVEMKuzBo9l1Iy6qDYs7ZVpMXEuuRYply/RJ8rx+l39QSfxV5mfUo8161mtKiopXelv2cgMwLL83upGkwPLM9zXoHUNLhK2vQiQqNSMdw3BIC1KbEcSU+55z6KorAsMWPUqqu7L7oi0tcmk5X1688B0LlzxQJuDQwcmHFDuWDBAZKTTVl1l955pwWlSnnebVdhR1Ontkev1xAWdo7Vq086/HxpaWZeeCFjOuDzz9fm8ccr3XOfyZPbotNp2LDhPOvWnXF4Gx1t796rfPttxocKs2Z1QqO5/78hISEerFz5DHq9htWrT/Leexvs1UxRRBSNK5AQosiId81IJGCv2lYmxcZbkWfpfeU4n8SE81dKHJFWMxqght6F5zwDmBZQjt9L1WBmUAUGeAVRx+BWZG6wxe2q613p7OoDwMxcJLc4akzlhCkVLSq6uBeNosEAO3b8PwV7vXr5m4I9J126VMbPz4WrV5N48smfuHQpgVKlPBg1qtm9dxZ2U66cN2++2RSAkSP/xmh88NpvdzN+/GZOnowhONiNzz/PeTrgrcqW9eb11xsB8NZbYQWePv5B2GwKw4atRVHg2Wdr0bx56Qc+ZuPGIXz7bRcApkzZwaJFhx74mA+D48ejC7oJdiF3H0IIu1EUhQTXjOxK9qpt9UXsFfamJ6MGqupc6OsRwKc3gqkvgiryolcw9ZzdJRFFMfOydzDuag1nzOmsurGW6k6WJWVckNu5euNdhNbPZU4J7NixfKFIFKHXO/H887UA2Lz5ApAxiuLiUnTe0+JizJhHCA5249y5OD7/fLfDzvPPP5f57LOM6YBfffVEntYZvffeI3h7Gzh6NJqFCw84qIWOt3jxIXbtuoyrq5ZPPmlnt+P261crqybcSy+tZvfuy3Y7dnFjsdh45531VK8+l1WrThR0cx6Y3I0IIezmSqoVs9YZrRq71Lb6KzmWP5JjUQGfBJRjbnBFBnkH09DZHWf1g4+KicLLS+PESzeSW3wXH0Gs1ZzjdtfMRranJgDwdBEpGpypsKy3utnAgfWyvm/RojS9elUvwNY8vNzcdFk3+pMmbePatSS7nyM93cKLL67GZlPo169mVjHp3PL2dmbcuIz042PHbiI52WT3NjpaUpKR0aPXAzB2bEtKlHC36/EnTWpL166VMRqtPPXUz4SHJ9j1+MXB9eupdO68mE8+2YGiwP79RT9JigRXQgi7ORqXcXGt7KF94NpW501pzIjN+KSvv2cgDZzte9EThd/jbr5U1jmTotj46g7JLX5Luo4NaGBwo6yu4LLt5VV4eAJHjkQVaAr2nFSr5s9jj1XExUWbqwKqwnH69atF48YlSU428e679k97PnHiFo4diyYw0JWZMzvd1zFee60h5cp5ExGRzGef7bRzCx3vo4+2ce1aMhUq+DB8eBO7H1+tVrFoUXdq1QokMjKFrl1/JiWl6AWhjrJv31Xq15/H+vXncHXVsnRpzzynwC+MJLgSQthFqtnGycSM0YXq3roHO5bNygfRFzEqCg0N7jznGWiPJooiRqNSMdwnBBUQlhLHwfTkbM+n2Kz8mRwLZKRfL0oykwA0alQSX1+XAm5NditWPMPlyyMKxTqwh5larcoKehYuPMCePVfsduy9e6/y6ac7APjyy8fv+/+gTqfJyiQ5depOh4ywOcrp0zFZGRJnzOiIXu+YsiFubjpWr+6Nv78L+/dH0L//SskgCHz//QGaN/+OS5cSqFjRh927Xyo2I+USXAkh7GLLtRTMNtCbkinpcv9T9hRFYWpMOOEWI/4aLe/5lUYtn54/tKroXXjCLSNJxeexV7DclNxibXIsqYqN0k56GhqK1shmYZwSmEmn0+S5xo9wjMaNQ3j++doADBu2zi5pz41GCy+8sAqrVaF37xp061b1gY7Xs2c1mjQJITXVzLhxmx64ffllxIi/MJttdO5cgccfd2y2ztBQL1aseAatVs3y5ceZMGGzQ89XmJlMVoYMWcOAAaswGq08+WQl/v13EDVqBBR00+xGgishxAOLSLVwMCajWGJQ3LkHmkq0MimGzakJaIAP/EPx1Di+CLEo3AZ6BeGh1nDBnM5vN5JbWBWF5TfSr/fw8C9SAXj2FOyFL7gShcuUKY/i5qZj9+7LLF58+IGPN2nSVo4cicLf34Uvvuj8wMdTqVRMm9YBgO++O8CRI/lb/Ph+rFlzijVrTqPVqpkxo2O+TH9t3rw08+Y9CcDEiVtZuvSIXY+vKArh4QksX36Mt98Oo3XrhVSrNodp03Y6PONkbl29mkTr1guZO3cvKhVMnNialSt737WuWlEkwZUQ4oEoisL6yxnTtap4anEx3v+0kOPGVObGXQXgVe8SVNe72qWNomjz1DjxslfGFLWF8RFEW8xsT00gwmrCQ62hg6t3Abcwb3buDCcpyYS/vwv165co6OaIQi442J333nsEgNGj1z9Q4oj//rvGxx9vB2Du3Mfx87PPlNRmzUrRo0dVbDaFt98Os8sxHcVotDBixF8ADB/ehMqV8y8RzoABdRg1qumN71exd+/V+z5WfHw669ef46OPttK168+UKDGd0qU/p2fPZUydupMtWy5y/Ph1Ro0Ko1q1ufz667ECLfi8bdtF6tefx65dl/HyMvDHH30ZO7ZVociUam/ykbAQ4oEcizNyOcWCVg0tgwxsu88PVhOsFiZEX8CCQksXT3q4F63Mb8KxOrv58GdyLMdMqXwVd5Uoa8YNZhc3XwxFLA3/2rWnAejYsUKxvLEQ9jd8eBO++eY/zp2LY8qU7Uya1DbPxzCZrFnTAXv2rEbPntXs2sYpU9qxatVJ1q49Q1jYWdq3LzyJWm42c+Y/nD4dS1CQG++/3zLfzz9lSjuOHbvOn3+epmvXn9mzZ9A9sxQajRYOHYrk33+v8M8/V/j33yucPBlz23ZOTmpq1QqkUaMSNGpUEpPJyoQJWzh3Lo6nn15G8+almD69I40alXTUy7uNoijMnv0vI0f+jcVio2bNAH777RkqVPDJtzbkNwmuhBD3zWRV2Hw1FYAmgS64a+/vJtemKHx8/RKRVjMhTjre9i0lWcpENmqViuG+JXn12mk2psYD4ISKp4pgEF6Y11uJwslgcGLatA5067aUzz7bycCBdSlbNm8jth9/vI1DhyLx9XVmzpzH7N7GChV8eO21Bsya9S9vvRXGvn1l0WgK1wcf164l8eGHWwH45JN2eHjYpx5jXmg0an76qQdNm37LsWPRPPXUz2zZMgBn54x6cjabwpkzsfz775WsYOrAgQhMJuttxypXzptGjUrSuHFJGjUqSd26QVnHydSvXy2mTt3B1Kk72bEjnMaN59O3b00mT25LaKiXQ19raqqZV1/9gx9/zCii3Lt3DebPfxJX1wdLelXYSXAlhLhvuyNTSTLb8NSpaRTgDNb7m9e9JDGKf9KT0KlUjPcvg6vUsBI5qKhzoau7LyuSMj6xbePqha9T0Spwe/lyIocPR6FSUahSsIvCr2vXyjz6aFk2bDjPW2+F8euvvXK978GDEUyatA2A2bMfIyDAMVOux45txfffH+TgwUgWLTpE//51HHKe+/XOOxtITjbRuHFJnn22VoG1w8NDz++/96FRo2/Ys+cqffosp2bNAP799yr//nuF+Pj02/bx9XWmUaOS2b5yM63TzU3HhAltePnl+rz//ia+//4AS5YcZvnyY4wY0YQxYx5xSJB5/nwc3bv/woEDEWg0KqZObc/w4U0eig9OC9dHCkKIIiPeaOWfqDQA2pZ0RXuf05v+S0tiQXxG0cDhPiGUL0K1ikT+e9ErGB+NE2qgVxFLvw7ZU7Dba72LeDioVCo+/7wTarWK5cuPs2nT+VztZzZbGTBgFRaLjW7dqvDMM45Ld+3n55K1Puy99zaSmppz8e+CsGtXOD/8cBCAL77oXOBTcsuV8+bXX3vh5KRm1aqTTJq0jb//Pkt8fDp6vYamTUN4443GLFnSnTNnXic6+i3+/LMf48e35rHHKub570fJkh4sWNCVfftepk2bMhiNVqZM2UGFCrP46qu9WCw2u722v/46Q/368zhwIAJ/fxfWr3+eESOaPhSBFUhwJYS4TxuvpGBVINRNSyXP+xviv24xM+n6JWxAZ1cfOrsV3znYwj7c1Bq+DKrIV8EVqVAEA3GZEigeRI0aAQwe3ACA4cP/ytUN8Sef7ODAgQh8fJyZO/dxh9/gvv56Y0JDPblyJYkZM3Y59Fy5ZbMpvP76WgBefLEODRvm35qju2ndugzff/8UDRuWYMCAOsyd+xh79w4iMXEMO3cO5PPPO9GnT03Kl/exW7/VrRvMhg3Ps3p1bypV8iU6OpXBg9dQu/ZX/Pnn6QdKemGzKUyevI3OnRcTF5dOo0Yl+e+/V2jduoxd2l5USHAlhMizC4kmTiWYUAHtQlzv64++VVH48PpF4mwWymkNvOFTOC52ovALcNJRUVf0Rn3M5ptTsDu2ro4oviZMaI23t4FDhyL55pt9d9328OFIJk7cAsCsWZ0ICnJzePsMBicmT84oLDxlyg4iI5PvsYfjLViwn337ruHhoc9qW2HRt29N/v13EAsWdGXw4IbUr18Cnc6xU+NVKhVPPlmZI0cG88UXnfH1debYsWgef3wJHTsu4tChyDwfMzHRSI8ev/DeextRFBg0qB5btw4gJMTDAa+gcJPgSgiRJ1ZFYf2VFADq+Rvwd76/pZvz469xyJiCi0rNBP8y6ItYxjch8mrnznASE434+bnQoIGkYBf3x9fXhYkT2wAwduwmYmPTctzOYrHxwgurMJttdOlSmb59a+ZbG3v3rkGDBiVITjYxYcKWfDtvTuLj0xkzZgMA48e3IjDQ8QFmUaHVahg6tBFnzgxj1Kim6HQawsLOUbfu1wwatJqIiNwFxsePR9Oo0TesXHkCnU7DvHlPMG/ek+j1D2dqB7mbEULkyf7odK6nW3HWqHgk6P5GD7anJvBzYjQAb/uWIkSb/xmbhMhvmVMCO3YsX+DrPUTR9uqrDahe3Z+YmDQmTNic4zZTp+5g375reHkZ+Oorx08HvJlareKzz9oDMG/ePo4fj863c99qwoTNREenUrWqH0OHNiqwdhRmXl4Gpk7twPHjQ+jVqzo2m8L8+fupUGEWH3645a5r53777TiNGs3n5MkYQkI82LbtBQYNqp+PrS98JLgSQuRaqtnGtoiM1OstS7hgcMr7n5CrZiNTrl8CoKe7H61cvezZRCEKLVlvJezFyUnNzJmdAJgzZw/HjmUPXo4di2b8+IwRo5kzOxEcfPc6So7QqlUZunSpjNWqMHr0+nw/P2S8D7Nn7wEy3getVjLR3k25ct4sXdqTHTtepEmTEFJSzIwbt5lKlb7ghx8OYrP9fz2W1WpjzJj19OjxC8nJJlq3LsO+fS/naw2twkqCKyFErm29lorRqhDgrKG2ryHP+5sUG+OvXyRFsVFd78Ir3jI1SjwcrlxJ5NChSFSqjOLBQjyoRx8tx1NPVcFqVRg+fF1WIoLM6YAmk5XHHqvIc88VXMrxTz5ph0aj4vffT7F584V8PbeiKLzxxjosFhtPPVWl0BY1LoyaNSvFzp0v8vPPPbKSk/Tvv5KGDb9h8+YLxMSk0rnzYqZM2QHAm282JSzsOYel+C9qJLgSQuRKZKqFAzEZtTfah7ihvo8pJrNjr3LalIanWsM4v1CcHpK0rEJkpmBv2FBSsAv7+eyz9lnrZP744xQA06fv4t9/r+DpqWfevCcKNP11lSp+vPJKxhSxUaP+zjby4WirVp1k/fpz6PUapk3rkG/nLS5UKhXPPFODEyeGZhVc/u+/a7Rp8z3ly88iLOwcLi5afvqpB5991gGn+5jJUlzJOyGEuCdFUQi7nLGwtaqXjlJueS/cGpYcx+/JMaiA9/xCCXAq3hXahbiZTAkUjlC+vA8jRzYBYOTIvzl0KJJx4zYBMGNGR0qWLPhMbR980Bp3dx379l3jp58O58s509LMjBjxFwCjRjWjXDnvfDlvcWQwOPH22805c+Z1XnutARqNioQEI+XLe7N790B6965R0E0sdCS4EkLc04l4E5dTLDipoE3JvA/7nzelMz32MgDPewbS0Dn/5/8LUVDMZithYZkp2CW4Evb17ruPEBTkxpkzsbRo8R1Go5WOHcszYECdgm4aAAEBrrzzTgsA3n13I+npFoefc9q0XVy4EE/Jku6MGdPC4ed7GPj7uzJnzuMcPjyY2bM7s3fvy9SsGVjQzSqUJLgSQtyVyaqw8Ubq9SaBLnjksf5Gqs3KB9EXSFdsNDC48Zyn/DEWD5dduy6TmGjE19dZUrALu3N31zNlSkbtpqQkE+7uOr755skCnQ54q+HDmxAS4sGlSwnMmvWPQ88VHp7A5MnbAPjssw64usosCXuqWtWfIUMa4eWV93XXDwsJroQQd7U7KpUksw0PnZrGgc552ldRFKbFXCbcYsRPo+U9v1A0heiCL0R+WLv2NJCRyEKjkcuusL/nnqtNkyYhAEyf3pFSpTwLuEXZubhomTQpozbXRx9t4/r1VLsdW1EUDh2KZNq0nXTqtIjKlWeTlmbhkUdK88wz1e12HiFy6+Gs7iWEyJV4o5V/IzMKVLYt6Yo2j7V5ViXHsDE1Hg3wgV8oXhr5kyMeHoqi8Ouvx5g/fz8gUwKF46jVKtau7cfJk9dp3DikoJuTo2efrcXnn//DgQMRfPjhFmbO7Hzfx7p2LYmwsHOEhZ1j/fpztxW7LVfOm6+/LthkHuLhJXc6Qog72nQ1BYsCpd20VPbM29SK48ZU5sReBeAV7xLUMEiKVvHwOHs2lqFD12ZlCaxWzZ+uXSsXcKtEceblZSi0gRWARqPms8/a067dj8ydu5ehQxtRsaJvrvZNSTGxdevFrIDqyJGobM87OzvRunUZ2rcvR/v25ale3V8CK1FgJLgSQuToYpKJk/EmVEC7ENc8XagSbVYmRF/AgsIjLp70dPdzXEPFfbHZFBITjcTHpxMVlcT582nExKQSGOghNyUPwGi08OmnO5g8eTvp6RZ0Og2jRzdnzJgWODvnPcumEMXJo4+Wo3PnCqxde4Z33tnA8uW9ctzOarWxf38EYWFn+fvvc+zcGY7JZM16XqWC+vVL3AimytGsWSn0ermlFYWD/E8UQtzGpiisv5yRxKKun4EA59z/qVCAqXFXiLSaKemk423fUnKz7iBms5X4+HTi4tJv/Jt22/dxcWnExxtvey4hwXhbzZkRI07i7OxEqVKelCrlkfVvSIhHtp89PWUhc042bjzP4MFrOHUqBoBHHy3LnDmPUbmyfLggRKZPP23PX3+d5bffjrN9+yVatCgNwMWL8YSFnePvv8+yYcN5YmPTsu0XGuqZNTL16KNl8fWVenGicJLgSghxm/3X04lOt2LQqHgkOG8XsD0BnvxjTEanUjHevwxu6rxlFxQ5S0018957G9iw4XxWkJScbHrg4xoMTnh7G0hNTSchwUJamoVTp2KyAoScuLvrbgrAMoKuWwOwhylDV0REMm+++TdLlmTU8AkMdGX69I706VNDPlgQ4hY1agQwcGBdvvnmP15/fS3NmoUQFnaO06djs23n4aGnTZsydOhQnvbty1Ghgo/8PokiQYIrIUQ2aRYb265lZHJqGeyCcx6qrh8wprAr2AuAN3xKUkGXt+yCImfHjkXTq9cyjh6NzvF5d3cd3t7OeHsb8PIyZH1/6885fW8wOGE2m/nzzz9p27YDUVFphIcnEh6ekO3fy5cTCQ9PJDY2jaQkE8eORXPsWM7tAfD2NlCqlCetWoUydWr7Yjllx2q18fXX+3j33Q0kJBhRqeC11xoyaVJbSVMsxF1MmNCaJUsOc+BABAcORACg0aho0iQka3SqUaOSOOXh+iNEYVH8rnZCiAey9Voq6VYFf4OGOn65v0GMs5r5OO4yikpFR2cvHnPL3UJlcXfff3+A1177k9RUM0FBbsyY0ZEKFXxuBEcGPD0NdrsBMRicKF/eh/Llfe64TUqKKSvQulMAlphovDElMZ1DhyIxm618+eUTdmljYbFv31UGD17Dnj0ZSVvq1w/mq6+ekDpWQuRCcLA7s2c/xty5e2jUqCTt25ejdesyMuVYFAsSXAkhskSmWjhwPR2A9iFuqHM5BUNRFKbGXCbOZsU3zcSQoCBHNvOhkJJiYsiQP/n++4MAtGtXjkWLuhEY6Fag7XJ11VG5st9d1xElJhoJD09g585wXnnlD776ah9NmoTQv3+d/GuogyQkpDN27CbmzNmDzabg4aHno4/aMnhwA6lhJUQeDBhQhwED6hR0M4SwOwmuhBBARoC0/koyClDFS0dp99xnNludHMOutES0qOh8MRpDebnJfBBHj0bx9NPLOH78Omq1igkTWjNmTIsic/Pu4aGnevUAqlcP4OrVJMaP38Krr66hdu0g6tQpmoG3oij88stRhg//K6umTp8+NZg2rQPBwe4F3DohhBCFRdG4UgshHO5kvInwZAtOKmhTMvc1qS6Y0pkblzE16iWPAPzSzY5qYrGnKAoLFuynYcNvOH78OsHBbmzc+Dzvv9+yyARWtxo7thWdO1cgPd1Cjx6/EBeXdu+dCpnTp2Po2HERvXsvJyIimYoVfQgLe44lS3pIYCWEECKbonm1FkLYldmmsPFKRur1JoEueOpyl+HPpNiYdP0iJkWhkcGdp1zvvFZH3F1yson+/Vfy4ourSUuz0KFDeQ4ceJVWrcoUdNMeiFqtYtGi7pQp48W5c3E8//zK21LAF1bp6RYmTNhMzZpfEhZ2Dr1ew4QJrTl0aDDt2pUr6OYJIYQohCS4EkLwT2QaiWYbHlo1jQNzn+Hv2/gIzprT8VRrGO0n9azu1+HDkTRs+A0//ngItVrFRx+1Ze3afgQE5H4EsTDz8XFm+fJe6PUa/vjjFB9/vK2gm3RPYWFnqVnzS8aP34LRaKVDh/IcOfIa48a1wmCQGfVCCCFyJsGVEA+5BJOV3ZEZqdfblnRFq85dgLQvLYlfEjNScb/tWwofTe7XaIkMiqLw7bf/0ajRfE6cuE6JEu5s2tSfd999BHUu+6GoqFcvmDlzHgNg7NhNhIWdLeAW5ezatST69FlOhw6LOHMmluBgN5Yu7cm6df2oUEFGZoUQQtydBFdCPOQ2XUnBokApNycqe+Wu8GuC1cLHMZcA6OLmSzMXT0c2sVhKTjbx3HMreOml30lPt9CpUwUOHHiFli1DC7ppDjNwYD0GDqyLokCfPsu5dCmhoJuUzXff7adKlTn8/PMR1GoVw4Y14sSJofTqVV1GZYUQQuSKBFdCPMQuJpk4EW9CRUbq9dzcQCqKwrSYy8RYLZR20jPYW+r65NWhQ5HUrz+PxYsPo9GomDLlUdas6Yu/f/GYBng3s2c/Rv36wcTEpNGz5y8YjZaCbhKKojB+/GYGDlxNYqKRRo1KsmfPIGbO7IyHh76gmyeEEKIIkeBKiIeUTVFYfzkjiUUdPwMBzrlbR/Jncizb0hJwQsX7/qUxqOXPSG4pisK8efto3Hg+p07FEBLiwebNAxg9ukWxmwZ4JwaDE7/+2gsfH2f27LnK8OHrCrQ9VquNoUP/ZMKELQCMG9eSnTtfpF694AJtlxBCiKJJ7oqEeEgduJ5OdLoVg0ZFy2CXXO0TbjYyOzPtulcQFXW5209AUpKRfv1+45VX/iA93cJjj1Vk//5XaNGidEE3Ld+VKePF4sXdUangq6/28f33BwqkHSaTlX79fmPu3L2oVDBnzmNMmNCmyKa9F0IIUfDkCiLEQyjNYmPrtYwkFo8Eu+DsdO8/BeYbadfTFRv1DG487eHv6GYWGwcORFC//jx++ukIGo2KTz9tx++/98HP7+ENTjt1qsAHH7QC4NVX13DgQES+nj852cSTT/7E0qVH0WrV/PRTD157rWG+tkEIIUTxI/lkhbCDC4kmItMKfu1Ibl1KNpNuVfA3aKjrZ8jVPgvjIzllSsNDreEd39KoZYH/PSmKwtdf72P48HUYjVZKlfLg55970qxZqYJuWqEwdmwr/vnnCmvXnqFHj1/Yu3cQ3t65LwVwv2JiUnn88SX8888VXFy0rFjxDB06lHf4eYUQQhR/ElwJ8YDijVaWnk2kaJRFza5diGuugqQD6cn8lBgFwCjfUvg7Sdr1e0lMNPLyy7+zdOlRAJ54ohILF3bF1/fhHa26VWaB4fr152UVGF61qrdD15+FhyfQseMijh+/jo+PM3/+2ZfGjUMcdj4hhBAPFwmuhHhAR2KNKICXTk2IW9EJOkq6OhHqfu/U60lWC5OvX0IBHnfz4RFJu35P//13jWee+ZUzZ2JxclIzZcqjjBzZVNJ55yCzwHCzZt9mFRh+772WDjnXiRPX6dDhR8LDEwkJ8eCvv56lWjWZ3iqEEMJ+JLgS4gEoisLh2HQAWgS7UMMnd1PsigpFUZgWe5loq5kQJx1DJO36XcXGpvHBB5uYO3cvNptC6dKeLF3akyZNZGTkbjILDL/00u+MHbuJRo1K0r69fafp7dlzhc6dFxMTk0blyr78/fdzlC4tHxQIIYSwL0loIcQDCE+xkGCyoVOrqORZ/Orh/JUSx5bUBDTAe36hOKs1Bd2kQslqtfHVV3upVOkLZs/eg82m0KtXdfbvf0UCq1xyZIHh9evP0abN98TEpNGgQQm2bXtBAishhBAOISNXQjyAwzEZo1ZVvHXoNMVrytcVs5FZsVcAeMEriCr63K8VUhSF9HQLaWlm0tIe5N//fx8a6smwYY2pVMnXUS/5vmzdepFhw9Zy8GAkANWr+zNrVmfati1bwC0rembPfoz9+yP4779r9Oz5C9u2vYBe/2CXqV9/PUa/fr9hMll59NGyrFjxDO7uxe+DECGEEIWDBFdC3CeTVeFEvBGAmsVsOqBFUfjo+iXSFBu19K709gi45z7p6Rb69l3OmjWnMJsPoDggw8fcuXvo3r0qo0c3p2HDkvY/QR6Ehyfw9tvr+fnnIwB4eRn48MM2vPpqA5xykdpe3C6jwPDT1K8/L6vA8JdfPnHfx/v6670MHrwGRYGePauxaFG3Bw7WhBBCiLuRq4wQ9+lkvBGz7UYiC9fi9av0Y0Ikx02puKk1vOtXGk0uEjG89dbfrFhx8rbH1WoVzs5OODtr7/ivi0vm9zk/r9dr+OOP06xefZLly4+zfPlx2rQpw+jRzenQoXy+JopIT7cwbdpOJk/eTmqqGZUKXn65PpMmtX2o61bZS9my3ixe3J3HH1/CV1/to2nTUjz/fO08HUNRFD76aBtjx24C4JVX6jNnzmNSHFgIIYTDFa87QiHy0eHYG6NWvoZilQXucHoKixIypriN9Akh0OneGQV/++04s2fvAeCtt8rw+utd8PBwxtlZi1artsv7M2hQfY4ejWLq1J0sXnyYTZsusGnTBerUCWL06Ob07FnNoSNGiqKwatVJRo78i/Pn4wFo0aI0s2Z1om7dYIed92HUuXNFxo1rxYQJW3jllT+oVSuQOnWCcrWvzaYwYsQ6Zs36F4D333+EiRPbFKvfUSGEEIWXfIwnxH2IN1q5lGwGoIZP8Vm/kWyzMvn6JWxAR1dv2rh63XOf8+fjePHFVQC8+WYTmjf3IijIDU9PAzqdxq43tdWrB7Bw4VOcPTuM4cMb4+qq5cCBCPr0WU7lyrP58ss9pKWZ7Xa+TMeORdOhwyK6dVvK+fPxlCzpzpIl3dm6dYAEVg4yblwrOnWqQHq6hR49fiEuLu2e+5jNVp5/fkVWYDVzZic+/LCtBFZCCCHyjQRXQtyHIzdGrULdtHjqik8GvZmxl4mwmijhpON1n3uvaTKZrPTuvZyEBCNNmoQwcWKrfGgllC7tyYwZnbh4cTgTJrTG19eZc+fieO21PylTZiYffbQ1Vzfj9xIfn86IEeuoVetL1q8/h06n4b33HuHEiaH06VNTbtodSK1WsXhxd8qU8coqMGyz3XkhX2qqmaeeWsrixYdxclKzaFE3hg1rnI8tFkIIISS4EiLPFEXhyI3aVjV9i8+oVVhyHOtT4lED7/qVxjUXadffe28D//57BS8vAz//3AOtNn8DTV9fF8aNa8WlSyP44ovOhIZ6EhWVwvvvb6J06c8ZNepvrlxJzPNxbTaFb7/9j0qVvuDzz//BalXo2rUyx469xqRJbXFzu/dUSfHgMgsMZ6y5yygwnJPY2DTat/+RP/88jbOzE6tX96Zfv1r53FohhBBCgish8uxyioX4YlbbKsJiYmbsZQCe9wykut71nvusWXOKzz7bBcB333UhNNTLkU28KxcXLUOHNuL06ddZtKgbNWoEkJxsYtq0XZQtO5OBA1dx4sT1XB1r585wGjX6hpde+p3o6FSqVPHjr7+eZeXK3pQv7+PgVyJulVlgGGDs2E2EhZ3N9vyVK4m0arWQnTvD8fIysH7983TuXLEgmiqEEEJIcCVEXmXVtvIqHrWtrIrCR9cvkqLYqK534VnPwHvuc/lyIv37rwTg9dcb0a1bVQe3Mne0Wg39+tXi0KFXWbOmL488Uhqz2cZ33x2gWrU5dO++lH/+uZzjvlevJvHccyto3vw79u27hoeHnunTO3Do0Kt06FA+n1+JuNmdCgyfPh1D8+bfceRIFMHBbmzdOoBmzUoVcGuFEEI8zAp1cPXxxx/TsGFD3N3dCQgI4KmnnuLkyeypntPT0xkyZAi+vr64ubnRo0cPIiMjC6jForjLqG1lAjKyBDpSis3K9tQENqfEc9lsxOaIwlHAkoQojhhTcVGpec/33mnXLRYbffsuJyYmjXr1gpk6tb1D2vUgVCoVjz1Wka1bX2DHjhfp0qUyigIrVpygSZNvad16IevWnUFRFIxGC598sp1Klb5g0aJDqFQwcGBdTp0ayogRTfN9qqPI2ezZj1GvXjAxMWn07PkLu3aF07z5d1y8mECFCj7s3DmQmjXv/cGAEEII4UiFOhX7li1bGDJkCA0bNsRisfDuu+/SoUMHjh07hqtrxrSlESNGsGbNGpYtW4anpydDhw6le/fu7Nixo4BbL4qjUwlGTDbFIbWtFEXhrDmdf9MS+TctiSPGFKw3Pe+iUlNe50wFnTMVdc5U0BkoozWgVd3/ZyTHjCksTIgAYLhPCMHae09znDhxC9u2XcLdXcfSpT0LfVHWZs1KsWpVb44di2bq1J0sWnSILVsusmXLRWrXDiQlxcyZM7EANGkSwqxZnQq8QLG43a0Fhps1+w6AunWDWLfuWQIC7j2VVQghhHC0Qn1XtG7dumw/L1y4kICAAPbt20fLli1JSEjg22+/ZcmSJbRt2xaABQsWULVqVXbv3k2TJk0KotmiGDscY9/aVsk2K3vTkvgnLZE96UnEWC3Zni/lpMdVreacOZ1UxcZhYwqHjSlZzzuhooxWnxVwVdQ5U17njEsuklGk2qx8dCPtelsXL9rlIu36hg3nmDRpKwDz5j1JhQpFZw1StWr+LFjQlYkTWzNjxm7mzdvHwYMZo9xBQW588kk7nn22Fmp10Z/qWVzdXGBYUaB16zKsWtUbD4/isfZRCCFE0Veog6tbJSRkzLP38cm4odu3bx9ms5l27dplbVOlShVKly7Nrl277hhcGY1GjEZj1s+JiRnZxMxmM2az/WvkiLzL7IfC1B+JJhsXb9S2quKuua+22RSFM+Z09hqT2WNM5rgpDdtNz+tVKuroXGlocKOh3o3gGwV8rYrCJYuRs+Z0zpjTOXvjK1mxcebGY+tS4gBQASU0OipoDZTXGrL+9dZk/3WfFXeVqxYTgRotQz0CsViyB3a3ioxMpl+/31AUGDiwDj16VL7tPSiM/XaroCAXPvmkLaNHN2X+/P2YzTaGDWuIu7seq9WC1XrvYxQ3RaHfMrVrV4YlS7px/Ph1Ro1qisGgLhLtdoSi1G/i/6Tfiibpt6LpfvvtQfpZpSgOWshhZzabjS5duhAfH8/27dsBWLJkCS+88EK2QAmgUaNGtGnThk8++STHY40fP54JEybc9viSJUtwcXGxf+NFsRDtEcJ1r1Bc0uMJjTqa6/3SNGouujtz0cOZi+7OpN6yhscn3USZxDTKJKZRIsWIUy5/JRUgUedEtLOOaGcdUTf+Tdbl/JmJq8mCf5qJgDQTakVhd7A3KkWh55kISqYYc9wnk82mMGHCWQ4eTKZ0aQNTp1ZCry/USzaFEEIIIe5Lamoqffv2JSEhAQ8PjzztW2RGroYMGcKRI0eyAqsHMWbMGEaOHJn1c2JiIqVKlaJDhw55fgOFY5jNZsLCwmjfvj1arbagm4OiKHx3OhlMNlqVD6Zag9A7bmtVFE6b09ljTGZPejInzWncHC45q9TU0bvSUO9GQ70rgU72rZkUb7VkjWydsWSMal2xmEjROZGic+KC5/8/QOjj7s+AVtXvecwpU3Zw8GDyjRpCz1Gtmn+O2xW2fhO5I/1WNEm/FU3Sb0WT9FvRdL/9ljmr7X4UieBq6NCh/PHHH2zdupWQkJCsx4OCgjCZTMTHx+Pl5ZX1eGRkJEFBQXc8nl6vR6+/fY6+VquVX5hCprD0SXiyOau2VVVfF7S3pGBPslrYfdPaqURb9rll5bQGGjm708jZgxp6lwdKQnEv/lot/gZnbp4Um2azctaUzhlzGmdMGV8lnfS84FMCp3usHdu+/RITJmSss5oz5zFq1y5xzzYUln4TeSP9VjRJvxVN0m9Fk/Rb0ZTXfnuQPi7UwZWiKLz++uusWLGCzZs3U7Zs2WzP169fH61Wy4YNG+jRowcAJ0+e5NKlSzRt2rQgmiyKqcOxd65tlWi1MOjaKaKs/5+f66pSU9/ZnUYGdxo5u+Nv59GpvHJWa6hhcKWGIW8Z1WJiUunTZzlWq8Kzz9ZiwIA6jmmgEEIIIUQxUKiDqyFDhrBkyRJWrVqFu7s7EREZKaM9PT1xdnbG09OTgQMHMnLkSHx8fPDw8OD111+nadOmkilQ2I3JqnAiLqO2VY0calutSLpOlNWMr8aJjq4+NHZ2p5re9Z4jQoWdoigMGLCKy5cTqVTJl7lzH7NLhkQhhBBCiOKqUAdXX375JQCtW7fO9viCBQsYMGAAADNmzECtVtOjRw+MRiMdO3Zk7ty5+dxSUZzdXNuq1C21rdJsVn5Lug7Aa94laOvqXRBNdIjPP9/NH3+cQq/XsHRpT9zdJd21EEIIIcTdFOrgKjeJDA0GA3PmzGHOnDn50CLxMMqsbVXD5/baVr8nx5Jos1LSSUcrF68CaJ1j/PvvFUaPXg/AjBkdqVPnzmsYhRBCCCFEBsmlLMRdJJisWbWtavhkH7kxKTZ+SYwCoI9HAJpiMmUuPj6d3r1/xWy20aNHVV59tUFBN0kIIYQQokiQ4EqIuzgSmzFqVdpNi5c+e32qv5LjiLFa8NNoae9WPKYDKorCoEG/c/58PGXKeDF/fhdZZyWEEEIIkUsSXAlxB4qicDgmI0tgzVtGrayKws83Rq2e8fBH58DU6vnp66/38euvx3ByUrN0aU+8vG5P4CGEEEIIIXJWPO4IhXCAyymWrNpWlb2yB1ebUuO5ajHhqdbwuJuPw9qwdetFVqw4TnKyyWHnyHTwYATDh68D4JNP2tGoUUmHn1MIIYQQojgp1AkthChIR27Utqp8S20rm6KwOCFj1Kqnhz/Oak2O+z+I69dTee21NSxbdgwAg8GJTp0q0LNnVZ54ohKenvYdUUpONtGr168YjVaeeKISI0ZIKQMhhBBCiLyS4EqIHJhtCsdv1LaqeUttq51piVwwp+OiUvOUu5/dz7169UkGDfqdqKgUnJzUlCrlwfnz8axceYKVK0+g02no0KE8PXpUpUuXyvj4OD/Q+RRFYfDgNZw6FUNIiAcLF3aVdVZCCCGEEPdBgishcnAqPufaVspNo1ZPufvhZsdRq4SEdIYP/4uFCw8AUL26Pz/80I26dYM4fDiKX389xrJlxzhx4jp//HGKP/44hZOTmkcfLUvPntXo2rUy/v6ueT7v998fZNGiQ2g0Kn76qQe+vi52e01CCCGEEA8TCa6EyMHh2JxrW/2XnswJUyo6lYoeHvYbtQoLO8uLL67m8uVEVCp4661mTJzYBr0+41e0Vq1AatUKZOLENhw7Fs2vvx5j+fLjHDoUyV9/neWvv87yyit/0Lp1GXr2rEq3blUJCnK753mPHYtmyJA/AZgwoTUtWpS222sSQgghhHjYSEILIW6RYLJyISnn2laLb2QIfNzNFx+N9oHPlZxs4rXX1tChwyIuX06kQgUftm9/kU8+aZ8VWN2qWjV/xo1rxcGDr3Ly5FAmT25LvXrB2GwKGzee57XX/qREiWm0bLmAWbP+4fLlxByPk5Zm5plnfiU11Uy7duV4550WD/x6hBBCCCEeZhJcCXGLo3eobXXMmML+9GQ0ZKRff1Dbt1+iTp2v+PLLvQC8/nojDhx4hWbNSuX6GJUq+TJmzCPs2/cy584NY+rU9jRuXBJFgW3bLvHGG+soVWoGTZt+y7RpO7lwIT5r3+HD13HkSBSBga78+GM3NBr5cyCEEEII8SBkWqAQN1EUhcOxOde2ylxr1d7Vm0An3X2fIz3dwvvvb2T69F0oCpQu7cmCBV1p27bs/TccKFvWm1GjmjFqVDMuXUrgt9+Os3z5cXbsuMTu3ZfZvfsyo0aF0aBBCerVC2LevP9QqWDRou65mkIohBBCCCHuToIrIW5yJcVCnNGGVk222lbnTGnsTEtEBfTxDLjv4+/de5Xnn1/B8ePXARg4sC7Tp3fEw0N/jz3zpnRpT4YPb8Lw4U24ejWJFSuO8+uvx9m69SJ7915l796rALz33iO0a1fOrucWQgghhHhYSXAlxE0yR62qeOmz1bbKHLVq6eJJaW3ea0yZTFYmTdrK5MnbsFoVgoLc+OabJ3niiUr2afhdlCjhzpAhjRgypBFRUSlZKd2Dg9344IPWDj+/EEIIIcTDQoIrIW4w2xROZNa28vl/AHXFbGRzajwA/e5j1Orw4Uief34lBw5EANC7dw1mz+5cICnPAwJcefnl+rz8cv18P7cQQgghRHEnwZUQN5yKN2K0KXjq1JRy+/+vxk+JUdiAxgZ3KupyHxBZLDY++2wn48Ztwmy24evrzJdfPs7TT1d3QOuFEEIIIURBk+BKiBsya1vVvKm2VbTFzF/JcQD08wzM9bFOnYqhf/+V7N59GYAuXSozb94TBAZK4gghhBBCiOJKgishgMQ71Lb6JTEKCwq19K7UNLje8zg2m8Ls2f/yzjvrSUuz4OGhZ9asTjz/fO1sxYiFEEIIIUTxI8GVEMCRHGpbJVgt/JEcC+RurdWFC/G88MIqNm++AED79uX49tsulCrl6ZhGCyGEEEKIQkWCK/HQu7m21c2jVsuTrpOu2Kioc6ahwf2ux/j++wMMHbqW5GQTLi5aPvusPa++2kBGq4QQQgghHiISXImH3s21rarcqG2VYrOyIimjFlU/j4C7BkmrV59kwIBVALRoUZqFC7tSvryP4xsuhBBCCCEKFQmuxEMvc9Sq8k21rVYnxZBss1LaSc8jLnee1nfhQjz9+68EYPDgBnzxRWc0GrXD2yyEEEIIIQofuQsUD7Xsta0yRq2MNhvLEqMB6OMZgPoOo1Ymk5VnnvmV+Ph0Gjcuyeefd5LASgghhBDiISZ3guKhdjrelFXbqrSbFoA/U2KJs1kI1Ghp5+p9x33ffjuMf/+9gre3gaVLe6LTafKr2UIIIYQQohCS4Eo81G5OZKFSqbAoCksTogDo7RmA0x1GrX777TgzZ/4DwA8/dCM01Ctf2iuEEEIIIQovCa7EQyvRZOX8jdpWNX0MAKxPiSPSasZb7URn15yTUpw7F8eLL2YksHjrrWY88USl/GmwEEIIIYQo1CS4Eg+tozdqW5Vyc8JLr8GqKCy5MWr1tIc/evXtvx5Go4VevZaRkGCkWbNSfPRR23xtsxBCCCGEKLwkuBIPpYzaVhnBVeao1fbUBMItRtzUGrq4++a435tv/s2+fdfw9XVm6dKeaLWyzkoIIYQQQmSQ4Eo8lK6mWog1WrNqWymKwuLEjFGrbu5+uKpvD5qWLj3CnDl7APjxx26EhHjka5uFEEIIIUThJsGVeCgdjskYtcqsbbUnPYnTpjQMKjU93P1u2/706RgGDfodgDFjWtC5c8V8ba8QQgghhCj8JLgSDx2zTeF4XOaUwIzaVotvrLV60s0XT0322tppaWaefnoZSUkmWrYMZeLENvnbYCGEEEIIUSRIcCUeOpm1rTxu1LY6lJ7MIWMKWlQ87eF/2/bDh6/j4MFI/P1d+OmnHjg5ya+NEEIIIYS4ndwliodOZm2rmjdqW2VmCOzo5o2/kzbbtkuWHGbevP9QqWDx4u6UKOGe7+0VQgghhBBFgwRX4qGSZLJy4UZtqxo+Bk6bUvknPQk10NsjINu2J05c5+WXM9ZZvf9+S9q3L5/fzRVCCCGEEEWIBFfioXIk1ohCRm0rb70ma61VGxcvSmr1Wdulpmass0pJMdOmTRk++KBVAbVYCCGEEEIUFRJciYdGqtnGoawpgQYumdPZmpoAQD/P7KNWr7/+J0eORBEY6MqSJT3QaORXRQghhBBC3J3TvTcRomiz2hT2XU9nR0QqRquCXq2ispeOz+MuowDNnT0oq3PO2v6HHw7y3XcHUKtVLFnSg6Agt4JrvBBCCCGEKDIkuBLFlqIonEk0sfFKCnFGGwABzho6lXIjTrEQlhIHQN+bRq2OHYtm8OA1AIwf34q2bcvmf8OFEEIIIUSRJMGVKJai0yxsuJKSlbzCxUlFqxKu1PTRo1apmBV7GStQz+BGNb0rACkpJp5+ehmpqWbaty/Hu+8+UoCvQAghhBBCFDUSXD0EFEXheLwJjQrKe+hwUqsKukkOk2qxse1aKgeup6MAGhU09HemaZAz+hvrpmKtZtYkxwLQ70aGQEVReO21Pzl2LJoSJdxZtKi7rLMSQgghhBB5IsFVMZdusbHmUjKnE0wAOGtUVPPRU8vHQKBL8en+W9dVAVTy1NGmpCveek22bZcnXsekKFTVuVDXkLGeasGCA/zww0HUahU//dSDgADXfH8NQgghhBCiaCs+d9fiNhGpFlacTyTBZEOjAmeNmmSLjX3R6eyLTifQWUMtXwPVvPU4OxXNURpFUTibaGbjlRRijVYgY13VoyVdCXXX3bZ9ss3KyqTrQEaGQJVKxeHDkQwZ8icAkya1oWXL0Px7AUIIIYQQotiQ4KoYUhSFAzHprL+cglUBT52abmU9CHDWcD7RzKHYdE4nmIhMsxJ2OYWNV1Ko6Kmjlq+BMu5a1KqiMW0wOs3CxispnL95XVWwKzV99Xd8DSuTrpOq2CirNdDU2YOkJCNPP72M9HQLnTtXYPToFvn5EoQQQgghRDEiwVUxY7Iq/BWezNE4IwAVPHU8UdqNSMVEtNVGeU8d5T11pFpsHIs1cig2nag0KyfiTZyIN+GuVVPTR09NX8Nt0+kKi1SLje3XUtl/07qqBv7ONLtpXdWtFEVhS2oCSxOjgRujVsCrr67h5MkYQkI8+OGHbqiL8Xo0IYQQQgjhWBJcFSPX0y2sPJ/E9XQrKqB1CRcq+2qZnXCFNcmxqIBmzh50d/ejrsGNBgHONAhwJiLVwqGYdI7FGUky29gZmcbOyDRKuTlRy8dAZS89Ok3BBx1WReG/6HS252Jd1c3Om9L5IvYK+43JAFTUOdPaxYt58/axZMlhNBoVP//cAz8/l3x5HUIIIYQQoniS4KqYOBqbzrrwZMw2cHNS06WMG8dUyQy4do4EW8ZaJAXYkZbIjrREymgNdHf3o72rN0EuTgS5uNG2pCunE0wciknnfJKZ8GQL4cnJhF1OoYq3jlo+Bkq6OqHK52mDOa2r8jdoaBeS87qqTMk2KwvjI1iRdB0boFOp6OMRQB+PAA4diOCNN9YB8PHHj9K8een8eClCCCGEEKIYk+CqiLPYFDZcSWH/9XQAQt201C2pZXriJQ4aUwAoqzUwwicET42GFUnXWZccxwVzOtNjL/NN/DUed/Ohq7sfQU46qnrrqeqtJ9Fk5UiskUMx6cSbbByKMXIoxoiPXkMtXz01fAy4aR2fBCMm3cqWyNRs66paBrtS6y7rqmyKwl8pcXwTd404mwWAR5w9ec2nBEFOOhITjfTq9StGo5UnnqjEm282c/jrEEIIIYQQxZ8EV0VYvNHKyvNJRKRlBBANAvWcd07m9ehoLCgYVGr6ewbSAQ+WfX8EDw89r/WsxkCvYNYlx7Ii6TpXLSZ+Tozml8Romrt40t3dj9p6Vzx0GpoFudA00JnwlIxpgyfjjcQarWy+msqWq6mU89BSy9dAiKvW7q8t3WQjwrss359JRgHUN9WrMtyl/tQJYyqzYq9w3JQKQGknPa/7lKSBszuQMQr20kurOXMmltKlPfn++6dknZUQQgghhLALCa6KqNMJRv64mIzRquCsUVGmpIrv0i9zLTGjnlUzZw8GaP34edZ/vDZjN3FxGSNb7767kXfeac6AAXXo5u7HP2mJ/JZ0nX3pyWxLTWBbagLlbkwZbOfqjV6tprSbltJuWtqHuHIiPmPa4JUUC2cTzZxNNDvuRbqXAKCip46291hXFW+1MD/+Gn8mx6IAzjcCy+4efmhV/w/G5s7dw7Jlx3ByUrN0aU98fJwd134hhBBCCPFQkeCqiLEpCluupvJPVBoAni5w2SuRlcmJAARotAw0+LN77jEazfiF+PiMoKpyZV/i49O5cCGeV19dw6RJ23j77Wa89FI9mgWW54IpnRVJ1/k7JY5z5nQ+i73MvPhrPOHmS1d3XwKcdOg1amr7GqjtayAm3cLhGCNHbyTBcASDKZknKwVS3vvOAZBVUVidFMN3CREk31hb1t7Vm1e8gvF1+v+I2rlzcbz33kZ+/vkIAJ9+2o4mTUIc0m4hhBBCCPFwkuCqCEkyW1l1PonLKRZsKOBr5HfiSEu3oQae1HkT8905nvns96ygqmpVP8aNa8XTT1fDZLLyzTf/8cknO7h8OZFhw9YxefJ23nqrGa+8Up8RviG85BXE2pRYViTGEGE1sSQxip8To3jExZMe7n7U0LuiUqnwNTjRuqQTrUu6OuS1ms1m/vxzB6XrPXbHbQ6mJzMr9grnzBmvtYLWwDCfEGoa/t+m69dT+fDDLXz55V7MZhsqFQwZ0pDhw5s4pN1CCCGEEOLhJcFVEXEhycTqC0mkWhRStGYueiYQbsuoZVVZY8BteRTjP1hLQkLGY9Wq+TNuXEt69qyG5sYaJWdnNcOGNebll+uzYMF+pkzZwaVLCbz55t9MmbKdN99symuvNaSXRwA93P3ZlZbIb4nX2W9MZktqAltSE6ioc6a7ux9tXb3QqRyf0CIn0RYzX8VdZWNqPAAeag0DvYJ43M0XzY0kF6mpZj7/fDeffLKDxMSM96Rjx/J88kk7atcOKpB2CyGEEEKI4k2Cq0JOURR2Rqax/VoqJpWNy+5JnNYmo9jAFTUldiTx85C1JMRnBBDVq/szblwrevasdsdEDQaDE4MHN2TgwHr8+ONBJk/ezrlzcbzzzgY+/XQnw4c35vXXG9PCy5MWLp6cM6XxW9J1wlLiOG1K45OYcL6Ku8qTbr50cffD38n+CS1yYlJs/JoYzY8JUaQrNlTAk26+vOgVhKcm47+yxWJj4cIDfPDBZq5eTQKgXr1gPv20HY8+Wi5f2imEEEIIIR5OElwVYqkWG39cSOJskokIXRpn3BJJJWNdUcBpI+sHbSf2QkYAUaNGAOPGtaRHjzsHVbfS6TQMHFiP/v3rsGTJYT76aBunTsUwbtxmpk3bxbBhjRk+vAnlfJwZ5VuKQV7B/Jkcy8qk60RZzSxKjOKnxCiq610p4aQj6MZX8I0vH402ayTpQf2Tlsjs2CtctmQk7Kiud+ENn5JU1GUU/lUUhT/+OMU772zg2LFoAMqU8WLy5LY880wNyQgohBBCCCEcToKrQupKiplV55O4ZjVxwj2e69qMkSnneCsHRu5h88YIAGrWDGDcuFZ07171vgMIJyc1zz9fm379arJs2TE+/HArx45F8+GHW5kxYzdDhzZk5Mim+Pu70sczgF4e/mxPTeC3pOscMqZkfd12XFQEOmkJdtIReFPQlRmEeavvXZD4qsXEvLjL7EzLSNjho3HiFa9g2rt6Z+37zz+XeeutMLZtuwSAr68z77/fksGDG6DXy39xIYQQQgiRP+TOs5BRFIW90emsv5LMWUMS592SsKlAZVG4/OUpznxxEsVko1atQMaNa0m3bvcfVN1Ko1HTu3cNevWqzooVx/nww60cPBjJlCk7mDXrX159tT6jRjUjONidVq5etHL14oIpnTPmNCIsJq5ZTETc+Iq0mLCgcMVi4sqN0aZb6VWqbKNdQZr/f++hwM4gL+ZEncWMggbo6eHPc56BuKozUrKfOhXDu+9uYPny40DGdMcRI5owenRzPD0NdnlPhBBCCCGEyC0JrgoRo9XGn5eS2ZmcyDHPBFI1GcWBE3ZEc+LdA6RdTKFWrUA++KAVTz1VxWFT3dRqFT16VKN796r88ccpPvxwK3v2XGX69N3MmbOHQYPqMXp0C0JCPCijM1BGd3sgY1UUrlvN2QKum7+PtpoxKgoXzUYumo05NyTIC1BoYHBjqE9JQrUZ54mMTGbixC3Mm/cfFosNtVrFgAG1mTChDSEhHg55T4QQQgghhLgXCa4KkSOJ6SwzR3DNI6OGlSk6ndPjDxG95iq1awfywYzH6drVcUHVrVQqFU8+WZknnqjEX3+d5cMPt7JzZzizZ+9h3rz/eOGFOrzzTgvKlPG6bV+NSkXgjemAOTErNqIs5qyg6+bAK8JqItZqwcNoZnhQWVq7+6BSqUhONjF9+i6mTt1JcnLGaNgTT1Ti448fpUaNAEe+FUIIIYQQQtyTBFeFSKIplWv6NBSbwpXvz3F++nFqlvdj3opn6NKlcoElZVCpVHTqVIGOHcuzadMFJk7cwpYtF/n66318++1+WrUKJTTUk1KlPAkJ8aBUKY+s7z089DkeU6tSU1Krp6Q25+dTTEbC1q6jRdnaWCw2vv12P+PHbyYyMmNtV8OGJZg6tT2tWpVx1MsWQgghhBAiTyS4KkRsRxI5v+o4sZsjqeBk4LdFPXnyyUr3TPqQX1QqFW3blqVt27Js23aRDz/cSljYOTZsOH/HfTw89JQq5ZEVdGX865nteze320e3dCo1KAorV57k/fc3c+pUDAAVKvgweXJbevasVmjeFyGEEEIIIUCCq0KlbduydFp2jMc/qssTTxSeoConjzwSyt9/P8eBAxEcOBBBeHgCly8nEh6emPVvfHw6iYlGjh6N5ujR6Dsey8vLcNOIV0bQ5efnzKxZZzhx4iAA/v4ujBvXipdfro9Op8mvlymEEEIIIUSuSXBViKhUKr766omCbkae1KkTRJ06QTk+l5xsuhFo/T/wyvg+KeuxhAQj8fHpxMenc+RI1G3HcHHR8uabTRk1qtkdpxgKIYQQQghRGEhwJRzGzU1HlSp+VKnid8dtEhONXL6cmBWE/X/kKwGdLpE5c/pSurR3PrZaCCGEEEKI+yPBlShQHh56qlXzp1o1/2yPm81m/vzzT4KD3QqoZUIIIYQQQuSNuqAbIIQQQgghhBDFgQRXQgghhBBCCGEHElwJIYQQQgghhB1IcCWEEEIIIYQQdiDBlRBCCCGEEELYgQRXQgghhBBCCGEHElwJIYQQQgghhB1IcCWEEEIIIYQQdiDBlRBCCCGEEELYgQRXQgghhBBCCGEHxSa4mjNnDmXKlMFgMNC4cWP+/fffgm6SEEIIIYQQ4iFSLIKrpUuXMnLkSD744AP+++8/ateuTceOHYmKiiropgkhhBBCCCEeEsUiuJo+fTqDBg3ihRdeoFq1anz11Ve4uLjw3XffFXTThBBCCCGEEA8Jp4JuwIMymUzs27ePMWPGZD2mVqtp164du3btynEfo9GI0WjM+jkxMREAs9mM2Wx2bINFrmT2g/RH0SL9VjRJvxVN0m9Fk/Rb0ST9VjTdb789SD+rFEVR7nvvQuDq1auULFmSnTt30rRp06zH3377bbZs2cI///xz2z7jx49nwoQJtz2+ZMkSXFxcHNpeIYQQQgghROGVmppK3759SUhIwMPDI0/7FvmRq/sxZswYRo4cmfVzYmIipUqVokOHDnl+A4VjmM1mwsLCaN++PVqttqCbI3JJ+q1okn4rmqTfiibpt6JJ+q1out9+y5zVdj+KfHDl5+eHRqMhMjIy2+ORkZEEBQXluI9er0ev19/2uFarlV+YQkb6pGiSfiuapN+KJum3okn6rWiSfiua8tpvD9LHRT6hhU6no379+mzYsCHrMZvNxoYNG7JNExRCCCGEEEIIRyryI1cAI0eOpH///jRo0IBGjRrx+eefk5KSwgsvvJCr/TOXnT3IEKCwL7PZTGpqKomJifIJUREi/VY0Sb8VTdJvRZP0W9Ek/VY03W+/ZcYE95OaolgEV8888wzR0dGMGzeOiIgI6tSpw7p16wgMDMzV/klJSQCUKlXKkc0UQgghhBBCFBFJSUl4enrmaZ8iny3QHmw2G1evXsXd3R2VSlXQzRH8P8lIeHi4JBkpQqTfiibpt6JJ+q1okn4rmqTfiqb77TdFUUhKSqJEiRKo1XlbRVUsRq4elFqtJiQkpKCbIXLg4eEhf8SKIOm3okn6rWiSfiuapN+KJum3oul++i2vI1aZinxCCyGEEEIIIYQoDCS4EkIIIYQQQgg7kOBKFEp6vZ4PPvggx3pkovCSfiuapN+KJum3okn6rWiSfiuaCqLfJKGFEEIIIYQQQtiBjFwJIYQQQgghhB1IcCWEEEIIIYQQdiDBlRBCCCGEEELYgQRXQgghhBBCCGEHElwJh9m6dStPPvkkJUqUQKVSsXLlymzPDxgwAJVKle2rU6dO2baJjY2lX79+eHh44OXlxcCBA0lOTs62zaFDh3jkkUcwGAyUKlWKTz/91NEvrVizR7+VKVPmtm2mTJmSbRvpN/u6V78BHD9+nC5duuDp6YmrqysNGzbk0qVLWc+np6czZMgQfH19cXNzo0ePHkRGRmY7xqVLl3j88cdxcXEhICCAt956C4vF4uiXV2zZo99at2592+/bq6++mu0Y0m/2da9+u7U/Mr+mTp2atY1c3/KfPfpNrm/57179lpyczNChQwkJCcHZ2Zlq1arx1VdfZdsmP69vElwJh0lJSaF27drMmTPnjtt06tSJa9euZX399NNP2Z7v168fR48eJSwsjD/++IOtW7fy8ssvZz2fmJhIhw4dCA0NZd++fUydOpXx48czb948h72u4s4e/QYwceLEbNu8/vrrWc9Jv9nfvfrt7NmztGjRgipVqrB582YOHTrE2LFjMRgMWduMGDGC33//nWXLlrFlyxauXr1K9+7ds563Wq08/vjjmEwmdu7cyffff8/ChQsZN26cw19fcWWPfgMYNGhQtt+3m2/mpN/s7179dnNfXLt2je+++w6VSkWPHj2ytpHrW/6zR7+BXN/y2736beTIkaxbt45FixZx/Phxhg8fztChQ1m9enXWNvl6fVOEyAeAsmLFimyP9e/fX+natesd9zl27JgCKHv27Ml6bO3atYpKpVKuXLmiKIqizJ07V/H29laMRmPWNqNHj1YqV65s1/Y/rO6n3xRFUUJDQ5UZM2bc8XnpN8fKqd+eeeYZ5dlnn73jPvHx8YpWq1WWLVuW9djx48cVQNm1a5eiKIry559/Kmq1WomIiMja5ssvv1Q8PDyy9aW4P/fTb4qiKK1atVLeeOONOz4v/eZYOfXbrbp27aq0bds262e5vhW8++k3RZHrW0HLqd+qV6+uTJw4Mdtj9erVU9577z1FUfL/+iYjV6JAbd68mYCAACpXrszgwYOJiYnJem7Xrl14eXnRoEGDrMfatWuHWq3mn3/+ydqmZcuW6HS6rG06duzIyZMniYuLy78X8pC5W79lmjJlCr6+vtStW5epU6dmG1qXfstfNpuNNWvWUKlSJTp27EhAQACNGzfONrVi3759mM1m2rVrl/VYlSpVKF26NLt27QIy+q1mzZoEBgZmbdOxY0cSExM5evRovr2eh0Vu+i3T4sWL8fPzo0aNGowZM4bU1NSs56TfClZkZCRr1qxh4MCBWY/J9a3wy6nfMsn1rXBp1qwZq1ev5sqVKyiKwqZNmzh16hQdOnQA8v/6JsGVKDCdOnXihx9+YMOGDXzyySds2bKFzp07Y7VaAYiIiCAgICDbPk5OTvj4+BAREZG1zc2/CEDWz5nbCPu6V78BDBs2jJ9//plNmzbxyiuvMHnyZN5+++2s56Xf8ldUVBTJyclMmTKFTp068ffff9OtWze6d+/Oli1bgIz3XafT4eXllW3fwMBA+X0rILnpN4C+ffuyaNEiNm3axJgxY/jxxx959tlns56XfitY33//Pe7u7tmmIMn1rfDLqd9Arm+F0RdffEG1atUICQlBp9PRqVMn5syZQ8uWLYH8v7453efrEOKB9e7dO+v7mjVrUqtWLcqXL8/mzZt59NFHC7Bl4m5y028jR47M2qZWrVrodDpeeeUVPv74Y/R6fb63+WFns9kA6Nq1KyNGjACgTp067Ny5k6+++opWrVoVZPPEHeS2325ep1OzZk2Cg4N59NFHOXv2LOXLl8//hotsvvvuO/r163fbOjlRuN2p3+T6Vvh88cUX7N69m9WrVxMaGsrWrVsZMmQIJUqUyDZalV9k5EoUGuXKlcPPz48zZ84AEBQURFRUVLZtLBYLsbGxBAUFZW1za7aXzJ8ztxGOdWu/5aRx48ZYLBYuXLgASL/lNz8/P5ycnKhWrVq2x6tWrZqVdS4oKAiTyUR8fHy2bSIjI+X3rYDkpt9y0rhxY4Bsf0ul3wrGtm3bOHnyJC+99FK2x+X6Vrjdqd9yIte3gpWWlsa7777L9OnTefLJJ6lVqxZDhw7lmWee4bPPPgPy//omwZUoNC5fvkxMTAzBwcEANG3alPj4ePbt25e1zcaNG7HZbFk3D02bNmXr1q2YzeasbcLCwqhcuTLe3t75+wIeUrf2W04OHDiAWq3OmgYj/Za/dDodDRs25OTJk9keP3XqFKGhoQDUr18frVbLhg0bsp4/efIkly5domnTpkBGvx0+fDjbTWFYWBgeHh63BQDiweWm33Jy4MABgGx/S6XfCsa3335L/fr1qV27drbH5fpWuN2p33Ii17eCZTabMZvNqNXZQxqNRpM1+p/v17c8pb8QIg+SkpKU/fv3K/v371cAZfr06cr+/fuVixcvKklJScqoUaOUXbt2KefPn1fWr1+v1KtXT6lYsaKSnp6edYxOnTopdevWVf755x9l+/btSsWKFZU+ffpkPR8fH68EBgYqzz33nHLkyBHl559/VlxcXJSvv/66IF5ysfCg/bZz505lxowZyoEDB5SzZ88qixYtUvz9/ZXnn38+6xzSb/Z3t35TFEX57bffFK1Wq8ybN085ffq08sUXXygajUbZtm1b1jFeffVVpXTp0srGjRuVvXv3Kk2bNlWaNm2a9bzFYlFq1KihdOjQQTlw4ICybt06xd/fXxkzZky+v97i4kH77cyZM8rEiROVvXv3KufPn1dWrVqllCtXTmnZsmXWOaTf7O9e/aYoipKQkKC4uLgoX375ZY7HkOtb/nvQfpPrW8G4V7+1atVKqV69urJp0ybl3LlzyoIFCxSDwaDMnTs36xj5eX2T4Eo4zKZNmxTgtq/+/fsrqampSocOHRR/f39Fq9UqoaGhyqBBg7KlwFQURYmJiVH69OmjuLm5KR4eHsoLL7ygJCUlZdvm4MGDSosWLRS9Xq+ULFlSmTJlSn6+zGLnQftt3759SuPGjRVPT0/FYDAoVatWVSZPnpwtaFYU6Td7u1u/Zfr222+VChUqKAaDQaldu7aycuXKbMdIS0tTXnvtNcXb21txcXFRunXrply7di3bNhcuXFA6d+6sODs7K35+fsqbb76pmM3m/HiJxdKD9tulS5eUli1bKj4+Poper1cqVKigvPXWW0pCQkK280i/2Vdu+u3rr79WnJ2dlfj4+ByPIde3/Peg/SbXt4Jxr367du2aMmDAAKVEiRKKwWBQKleurEybNk2x2WxZx8jP65tKURQlb2NdQgghhBBCCCFuJWuuhBBCCCGEEMIOJLgSQgghhBBCCDuQ4EoIIYQQQggh7ECCKyGEEEIIIYSwAwmuhBBCCCGEEMIOJLgSQgghhBBCCDuQ4EoIIYQQQggh7ECCKyGEEEIIIYSwAwmuhBBC2EWZMmX4/PPP77qNSqVi5cqVAFy4cAGVSsWBAwcc2q7x48dTp04dh56jKJD3QQghHE+CKyGEEAwYMACVSoVKpUKn01GhQgUmTpyIxWJx2DlLlSrFtWvXqFGjht2OeXPwlmnUqFFs2LDBbue4kzJlymS9h87OzpQpU4ZevXqxceNGh59bCCFE4SDBlRBCCAA6derEtWvXOH36NG+++Sbjx49n6tSpDjufRqMhKCgIJycnh50DwM3NDV9fX4eeI9PEiRO5du0aJ0+e5IcffsDLy4t27drx0Ucf5cv5hRBCFCwJroQQQgCg1+sJCgoiNDSUwYMH065dO1avXg1A69atGT58eLbtn3rqKQYMGJDtsaSkJPr06YOrqyslS5Zkzpw5dzxfTtMCjx49yhNPPIGHhwfu7u488sgjnD17FoA9e/bQvn17/Pz88PT0pFWrVvz3339Z+5YpUwaAbt26oVKpsn6+dTqczWZj4sSJhISEoNfrqVOnDuvWrbutXb/99htt2rTBxcWF2rVrs2vXrnu+h+7u7gQFBVG6dGlatmzJvHnzGDt2LOPGjePkyZNZ2x05coTOyG/4ygAAB/9JREFUnTvj5uZGYGAgzz33HNevX8/Wxk8//ZQKFSqg1+spXbp0tgBt9OjRVKpUCRcXF8qVK8fYsWMxm83Z2jJlyhQCAwNxd3dn4MCBpKen39be+fPnU7VqVQwGA1WqVGHu3Ln3fI1CCCHuTIIrIYQQOXJ2dsZkMuVpn6lTp1K7dm3279/PO++8wxtvvEFYWFiu9r1y5QotW7ZEr9ezceNG9u3bx4svvpg1NTEpKYn+/fuzfft2du/eTcWKFXnsscdISkoCMoIvgAULFnDt2rWsn281c+ZMpk2bxmeffcahQ4fo2LEjXbp04fTp09m2e++99xg1ahQHDhygUqVK9OnT576mSb7xxhsoisKqVasAiI+Pp23bttStW5e9e/eybt06IiMj6dWrV9Y+Y8aMYcqUKYwdO5Zjx46xZMkSAgMDs553d3dn4cKFHDt2jJkzZ/LNN98wY8aMrOd/+eUXxo8fz+TJk9m7dy/BwcG3BU6LFy9m3LhxfPTRRxw/fpzJkyczduxYvv/++zy/RiGEEDcoQgghHnr9+/dXunbtqiiKothsNiUsLEzR6/XKqFGjFEVRlFatWilvvPFGtn26du2q9O/fP+vn0NBQpVOnTtm2eeaZZ5TOnTtn/QwoK1asUBRFUc6fP68Ayv79+xVFUZQxY8YoZcuWVUwmU67abLVaFXd3d+X333/P8fiZPvjgA6V27dpZP5coUUL56KOPsm3TsGFD5bXXXsvWrvnz52c9f/ToUQVQjh8/fsf2hIaGKjNmzMjxucDAQGXw4MGKoijKhx9+qHTo0CHb8+Hh4QqgnDx5UklMTFT0er3yzTff3PFct5o6dapSv379rJ+bNm2a9XoyNW7cONv7UL58eWXJkiXZtvnwww+Vpk2b5vq8QgghsnPsRHchhBBFxh9//IGbmxtmsxmbzUbfvn0ZP358no7RtGnT236+VwbBTAcOHOCRRx5Bq9Xm+HxkZCTvv/8+mzdvJioqCqvVSmpqKpcuXcp1+xITE7l69SrNmzfP9njz5s05ePBgtsdq1aqV9X1wcDAAUVFRVKlSJdfny6QoCiqVCoCDBw+yadMm3Nzcbtvu7NmzxMfHYzQaefTRR+94vKVLlzJr1izOnj1LcnIyFosFDw+PrOePHz/Oq6++mm2fpk2bsmnTJgBSUlI4e/YsAwcOZNCgQVnbWCwWPD098/z6hBBCZJDgSgghBABt2rThyy+/RKfTUaJEiWyJJtRqNYqiZNv+1jU+D8rZ2fmuz/fv35+YmBhmzpxJaGgoer2epk2b5nnqYm7dHORlBkY2my3Px4mJiSE6OpqyZcsCkJyczJNPPsknn3xy27bBwcGcO3fursfbtWsX/fr1Y8KECXTs2BFPT09+/vlnpk2blus2JScnA/DNN9/QuHHjbM9pNJpcH0cIIUR2suZKCCEEAK6urlSoUIHSpUvflsHP39+fa9euZf1stVo5cuTIbcfYvXv3bT9XrVo1V+evVasW27Ztu2PQtmPHDoYNG8Zjjz1G9erV0ev12ZJAQEZAZLVa73gODw8PSpQowY4dO247drVq1XLVzryaOXMmarWap556CoB69epx9OhRypQpQ4UKFbJ9ubq6UrFiRZydne+YPn7nzp2Ehoby3nvv0aBBAypWrMjFixezbVO1alX++eefbI/d3DeBgYGUKFGCc+fO3daGzCBQCCFE3snIlRBCiHtq27YtI0eOZM2aNZQvX57p06cTHx9/23Y7duzg008/5amnniIsLIxly5axZs2aXJ1j6NChfPHFF/Tu3ZsxY8bg6enJ7t27adSoEZUrV6ZixYr8+OOPNGjQgMTERN56663bRrvKlCnDhg0baN68OXq9Hm9v79vO89Zbb/HBBx9Qvnx56tSpw4IFCzhw4ACLFy++r/fmZklJSURERGA2mzl//jyLFi1i/vz5fPzxx1SoUAGAIUOG8M0339CnTx/efvttfHx8OHPmDD///DPz58/HYDAwevRo3n77bXQ6Hc2bNyc6OpqjR48ycOBAKlasyKVLl/j5559p2LAha9asYcWKFdna8cYbbzBgwAAaNGhA8+bNWbx4MUePHqVcuXJZ20yYMIFhw4bh6elJp06dMBqN7N27l7i4OEaOHPnA74UQQjyMZORKCCHEPb344ov079+f559/nlatWlGuXDnatGlz23Zvvvkme/fupW7dukyaNInp06fTsWPHXJ3D19eXjRs3kpycTKtWrahfvz7ffPNN1vS8b7/9lri4OOrVq8dzzz3HsGHDCAgIyHaMadOmERYWRqlSpahbt26O5xk2bBgjR47kzTffpGbNmqxbt47Vq1dTsWLFPL4rtxs3bhzBwcFUqFCB5557joSEBDZs2MDo0aOztskcObNarXTo0IGaNWsyfPhwvLy8UKszLstjx47lzTffZNy4cVStWpVnnnmGqKgoALp06cKIESMYOnQoderUYefOnYwdOzZbO5555hnGjh3L22+/Tf369bl48SKDBw/Ots1LL73E/PnzWbBgATVr1qRVq1YsXLhQRq6EEOIBqJRbJ9ELIYQQQgghhMgzGbkSQgghhBBCCDuQ4EoIIYQQQggh7ECCKyGEEEIIIYSwAwmuhBBCCCGEEMIOJLgSQgghhBBCCDuQ4EoIIYQQQggh7ECCKyGEEEIIIYSwAwmuhBBCCCGEEMIOJLgSQgghhBBCCDuQ4EoIIYQQQggh7ECCKyGEEEIIIYSwg/8BwxxfopZQLaMAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = precem_span_per_decade.plot(x='publication_decade', y=['richness', 'Hill_Simpson', 'Hill_Shannon'], kind='line', figsize=(10, 6), grid=True,\n",
    "             color=['skyblue', 'navy', 'turquoise'])\n",
    "\n",
    "# Add labels and a title\n",
    "plt.xlabel('Publication Decade')\n",
    "plt.ylabel('Values')\n",
    "plt.title('Values Over Time')\n",
    "\n",
    "plt.legend()  # Show legend\n",
    "plt.show()  # Display the plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2cd849c0",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
